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- Title
Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket.
- Authors
Bonanno, Gabriele; Bisci, Giovanni Molica; Rădulescu, Vicenţiu
- Abstract
Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpiński gasket is proved. Our approach is based on variational methods and on some analytic and geometrical properties of the Sierpiński fractal. The abstract results are illustrated by explicit examples.
- Subjects
NONLINEAR theories; VARIATIONAL principles; PROBLEM solving; DIRICHLET problem; MATHEMATICAL sequences; EXISTENCE theorems
- Publication
ESAIM: Control, Optimisation & Calculus of Variations, 2012, Vol 18, Issue 4, p941
- ISSN
1292-8119
- Publication type
Article
- DOI
10.1051/cocv/2011199