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On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth

Candela, Anna MariaSquassina, Marco — 2003

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30 By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type. The research of the authors was partially supported by the MIUR project “Variational and topological methods in the study of nonlinear...

Remarks on positive solutions to a semilinear Neumann problem

Anna Maria CandelaMonica Lazzo — 1994

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this paper we study the influence of the domain topology on the multiplicity of solutions to a semilinear Neumann problem. In particular, we show that the number of positive solutions is stable under small perturbations of the domain.

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