RUF BERNHARD

A Moser type inequality in Zygmund spaces without boundary conditions.

2013

Abstract

Non-uniqueness for a critical heat equation in two dimensions with singular data.

ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE.

2019

Academic Article

On the capacity approach to non-attainability of Hardy's inequality in $\mathbbR^N$.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S.

2019

Academic Article

Reserved Access

Equivalent and attained version of Hardy's inequality in Rn.

JOURNAL OF FUNCTIONAL ANALYSIS.

2018

Academic Article

Reserved Access

Weighted Trudinger-Moser inequalities and associated Liouville type equations.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.

2018

Academic Article

Open Access

Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity.

JOURNAL OF DIFFERENTIAL EQUATIONS.

2017

Academic Article

Elliptic equations in dimension 2 with double exponential nonlinearities.

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS.

2017

Academic Article

Reserved Access

On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system.

JOURNAL OF DIFFERENTIAL EQUATIONS.

2016

Academic Article

On supercritical Sobolev type inequalities and related elliptic equations.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS.

2016

Academic Article

Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in R^2.

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY.

2015

Academic Article

Reserved Access

Higher order functional inequalities related to the clamped 1-biharmonic operator.

ANNALI DI MATEMATICA PURA ED APPLICATA.

2015

Academic Article

Reserved Access

On Trudinger-Moser type inequalities with logarithmic weights.

JOURNAL OF DIFFERENTIAL EQUATIONS.

2015

Academic Article

Reserved Access

Trudinger–Moser type inequalities with logarithmic weights in dimension N.

NONLINEAR ANALYSIS.

2015

Academic Article

Reserved Access

Weighted Trudinger : Moser Inequalities and Applications.

VESTNIK UZNO-URALʹSKOGO GOSUDARSTVENNOGO UNIVERSITETA. SERIA, MATEMATICESKOE MODELIROVANIE I PROGRAMMIROVANIE.

2015

Academic Article

Reserved Access

Hardy–Sobolev inequalities for the biharmonic operator with remainder terms.

JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS.

2014

Academic Article

Reserved Access

Limiting Sobolev inequalities and the 1-biharmonic operator.

ADVANCES IN NONLINEAR ANALYSIS.

2014

Academic Article

Group invariance and Pohozaev identity in Moser type inequalities.

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS.

2013

Academic Article

On semiclassical states of a nonlinear Dirac equation.

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS.

2013

Academic Article

Reserved Access

Optimal Sobolev Type Inequalities in Lorentz Spaces.

POTENTIAL ANALYSIS.

2013

Academic Article

Beyond the Trudinger-Moser supremum.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS.

2012

Academic Article

restricted Access

Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS.

2012

Academic Article

Open Access

On a nonlinear elliptic system with symmetric coupling.

NONLINEAR ANALYSIS.

2012

Academic Article

Open Access

Sharp Adams-type inequalities in R^n.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY.

2012

Academic Article

Open Access

The eigenvalue problem for the 1-biharmonic operator.

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE.

2012

Academic Article

Elliptic equations and systems with critical Trudinger-Moser nonlinearities.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS.

2011

Academic Article

restricted Access

Quasilinear elliptic problems with combined critical Sobolev–Hardy terms.

ANNALI DI MATEMATICA PURA ED APPLICATA.

2011

Academic Article

Open Access

Best constants in a borderline case of second order Moser type inequalities.

ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE.

2010

Academic Article

Multiplicity of solutions for a superlinear p-Laplacian equation.

NONLINEAR ANALYSIS.

2010

Academic Article

Open Access

New solutions for Trudinger–Moser critical equations in R^2.

JOURNAL OF FUNCTIONAL ANALYSIS.

2010

Academic Article

restricted Access

On an eigenvalue problem involving the Hardy potential.

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS.

2010

Academic Article

Open Access

Radial and non radial solutions for Hardy-Hénon type elliptic systems.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS.

2010

Academic Article

Singularly perturbed elliptic equations with solutions concentrating on 1-dimensional orbits.

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY.

2010

Academic Article

A priori bounds for superlinear problems involving the N-Laplacian.

JOURNAL OF DIFFERENTIAL EQUATIONS.

2009

Academic Article

Open Access

Best constants for Moser type inequalities in Zygmund spaces.

MATEMATICA CONTEMPORANEA.

2009

Academic Article

On Trudinger–Moser type inequalities involving Sobolev–Lorentz spaces.

ANNALI DI MATEMATICA PURA ED APPLICATA.

2009

Academic Article

Partially Open Access

On a Liouville-type equation with sign-changing weight.

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS.

2009

Academic Article

Open Access

On the Fucik spectrum of the Laplacian on a torus.

JOURNAL OF FUNCTIONAL ANALYSIS.

2009

Academic Article

Open Access

A sharp Trudinger-Moser type inequality for unbounded domains in R^n.

INDIANA UNIVERSITY MATHEMATICS JOURNAL.

2008

Academic Article

Open Access

Non-variational elliptic systems in dimension two : a priori bounds and existence of positive solutions.

JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS.

2008

Academic Article

Open Access

Solutions of a nonlinear Dirac equation with external fields.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS.

2008

Academic Article

Open Access

A global characterization of the Fucik spectrum for a system of ordinary differential equations.

JOURNAL OF DIFFERENTIAL EQUATIONS.

2007

Academic Article

Open Access

On the critical Neumann problem with lower order perturbations.

COLLOQUIUM MATHEMATICUM.

2007

Academic Article

Open Access

On a Schrodinger equation with periodic potential and critical growth in R-2.

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS.

2006

Academic Article

On elliptic equations and systems with critical growth in dimension two.

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS.

2006

Academic Article

Open Access

On the Fucik spectrum for elliptic systems.

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS.

2006

Academic Article

Semilinear elliptic systems with exponential nonlinearities in two dimensions.

ADVANCED NONLINEAR STUDIES.

2006

Academic Article

A sharp Trudinger-Moser type inequality for unbounded domains in R-2.

JOURNAL OF FUNCTIONAL ANALYSIS.

2005

Academic Article

Reserved Access

An Orlicz-space approach to superlinear elliptic systems.

JOURNAL OF FUNCTIONAL ANALYSIS.

2005

Academic Article

Elliptic equations in $\Bbb R\sp 2$ with one-sided exponential growth.

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS.

2004

Academic Article

Elliptic systems with nonlinearities of arbitrary growth.

MEDITERRANEAN JOURNAL OF MATHEMATICS.

2004

Academic Article

Open Access

Elliptic equations with one-sided critical growth.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS.

2002

Academic Article

On the number of closed solutions for polynomial ODE's and a special case of Hilbert's 16th problem.

ADVANCES IN DIFFERENTIAL EQUATIONS.

2002

Academic Article

Ground States for Elliptic Equations in R^2 with Exponential Critical Growth.

SPRINGER INDAM SERIES. Springer.

2013

Chapter

Open Access

On the Fucik Spectrum for Equations with Symmetries.

AMS.

2011

Chapter

Open Access

Superlinear elliptic equations and systems.

Elsevier.

2008

Chapter

Open Access

Hilbert type numbers for polynomial ODE's.

Birkauser.

2003

Chapter

The Cauchy problem for a semilinear heat equation with singular initial data.

Birkhauser.

2002

Chapter

Positivity and qualitative properties of solutions of fourth-order elliptic equations.

2017

Thesis

Open Access

SOME APPLICATIONS OF FUNCTIONAL INEQUALITIES TO SEMILINEAR ELLIPTIC EQUATIONS.

2015

Thesis

Open Access

RECURRENCE IN LINEAR DYNAMICS.

2014

Thesis

Open Access

EXPONENTIAL-TYPE INEQUALITIES IN R^N AND APPLICATIONS TO ELLIPTIC AND BIHARMONIC EQUATIONS.

2012

Thesis

Open Access

Etude mathematique de modèles non linéaires issus de la physique quantique relativiste..

2011

Thesis

Open Access

Nonlinear elliptic systems with critical growth.

2005

Thesis

RUF BERNHARD

Settori (2)

Ricerca Finanziata (2)

Nonlinear partial differential Equations in the critical Growth Range.

Equazioni differenziali non lineari: proprieta` qualitative e molteplicita` di soluzioni; spazi funzionali e immersioni ottimali; biforcazione e metodi topologici.

Pubblicazioni (63)

A Moser type inequality in Zygmund spaces without boundary conditions.

Non-uniqueness for a critical heat equation in two dimensions with singular data.

On the capacity approach to non-attainability of Hardy's inequality in $\mathbbR^N$.

Equivalent and attained version of Hardy's inequality in Rn.

Weighted Trudinger-Moser inequalities and associated Liouville type equations.

Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity.

Elliptic equations in dimension 2 with double exponential nonlinearities.

On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system.

On supercritical Sobolev type inequalities and related elliptic equations.

Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in R^2.

Higher order functional inequalities related to the clamped 1-biharmonic operator.

On Trudinger-Moser type inequalities with logarithmic weights.

Trudinger–Moser type inequalities with logarithmic weights in dimension N.

Weighted Trudinger : Moser Inequalities and Applications.

Hardy–Sobolev inequalities for the biharmonic operator with remainder terms.

Limiting Sobolev inequalities and the 1-biharmonic operator.

Group invariance and Pohozaev identity in Moser type inequalities.

On semiclassical states of a nonlinear Dirac equation.

Optimal Sobolev Type Inequalities in Lorentz Spaces.

Beyond the Trudinger-Moser supremum.

Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities.

On a nonlinear elliptic system with symmetric coupling.

Sharp Adams-type inequalities in R^n.

The eigenvalue problem for the 1-biharmonic operator.

Elliptic equations and systems with critical Trudinger-Moser nonlinearities.

Quasilinear elliptic problems with combined critical Sobolev–Hardy terms.

Best constants in a borderline case of second order Moser type inequalities.

Multiplicity of solutions for a superlinear p-Laplacian equation.

New solutions for Trudinger–Moser critical equations in R^2.

On an eigenvalue problem involving the Hardy potential.

Radial and non radial solutions for Hardy-Hénon type elliptic systems.

Singularly perturbed elliptic equations with solutions concentrating on 1-dimensional orbits.

A priori bounds for superlinear problems involving the N-Laplacian.

Best constants for Moser type inequalities in Zygmund spaces.

On Trudinger–Moser type inequalities involving Sobolev–Lorentz spaces.

On a Liouville-type equation with sign-changing weight.

On the Fucik spectrum of the Laplacian on a torus.

A sharp Trudinger-Moser type inequality for unbounded domains in R^n.

Non-variational elliptic systems in dimension two : a priori bounds and existence of positive solutions.

Solutions of a nonlinear Dirac equation with external fields.

A global characterization of the Fucik spectrum for a system of ordinary differential equations.

On the critical Neumann problem with lower order perturbations.

On a Schrodinger equation with periodic potential and critical growth in R-2.

On elliptic equations and systems with critical growth in dimension two.

On the Fucik spectrum for elliptic systems.

Semilinear elliptic systems with exponential nonlinearities in two dimensions.

A sharp Trudinger-Moser type inequality for unbounded domains in R-2.

An Orlicz-space approach to superlinear elliptic systems.

Elliptic equations in $\Bbb R\sp 2$ with one-sided exponential growth.

Elliptic systems with nonlinearities of arbitrary growth.

Elliptic equations with one-sided critical growth.

On the number of closed solutions for polynomial ODE's and a special case of Hilbert's 16th problem.

Ground States for Elliptic Equations in R^2 with Exponential Critical Growth.

On the Fucik Spectrum for Equations with Symmetries.

Superlinear elliptic equations and systems.

Hilbert type numbers for polynomial ODE's.

The Cauchy problem for a semilinear heat equation with singular initial data.

Positivity and qualitative properties of solutions of fourth-order elliptic equations.

SOME APPLICATIONS OF FUNCTIONAL INEQUALITIES TO SEMILINEAR ELLIPTIC EQUATIONS.

RECURRENCE IN LINEAR DYNAMICS.

EXPONENTIAL-TYPE INEQUALITIES IN R^N AND APPLICATIONS TO ELLIPTIC AND BIHARMONIC EQUATIONS.

Etude mathematique de modèles non linéaires issus de la physique quantique relativiste..

Nonlinear elliptic systems with critical growth.

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