Perturbation of symmetry and multiplicity of solutions for strongly indefinite elliptic systems
Articolo
Data di Pubblicazione:
2007
Citazione:
Perturbation of symmetry and multiplicity of solutions for strongly indefinite elliptic systems / C. Tarsi. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - 7:1(2007), pp. 1-30.
Abstract:
We consider the following elliptic system:
-\Delta u= |v|^{p-1} v + h(x) %
& x\in \Omega \\
-\Delta v= |u|^{q-1} u + k(x) %
& x\in \Omega \\
u=v=0 & x\in \partial \Omega
where \Omega \subset R^N, N\geq 3 is a smooth bounded domain. If h(x)= k(x)= 0 the system presents a natural Z_2 symmetry, which guarantees the existence of infinitely many solutions. In this paper we show that the multiplicity structure can be maintained if (p,q)lies below a suitable curve in R^2.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
elliptic variational systems; strongly indefinite functionals; perturbation from symmetry; critical hyperbola
Elenco autori:
C. Tarsi
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