Data di Pubblicazione:
2022
Citazione:
Nonlinear Eigenvalue Problems and Bifurcation for Quasi-Linear Elliptic Operators / W.B.E. Zongo, B. Ruf. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 19:3(2022), pp. 1-31. [10.1007/s00009-022-02015-4]
Abstract:
In this paper, we analyze an eigenvalue problem for quasilinear elliptic operators involving homogeneous Dirichlet boundary conditions in a open smooth bounded domain. We show that the eigenfunctions corresponding to the eigenvalues belong to L-infinity, which implies C-1,C-alpha smoothness, and the first eigenvalue is simple. Moreover, we investigate the bifurcation results from trivial solutions using the Krasnoselski bifurcation theorem and from infinity using the Leray-Schauder degree. We also show the existence of multiple critical points using variational methods and the Krasnoselski genus.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Quasi-linear operators; bifurcation; bifurcation from infinity; multiple solutions
Elenco autori:
W.B.E. Zongo, B. Ruf
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