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Oznake: Sierpiński gasket;fractal domains;nonlinear elliptic equation;weak Laplacian;
This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods. More precisely, the existence of at least two non-trivial weak (strong) solutions for the treated problem is obtained exploiting a local minimum theo ...
Leto: 2017 Vir: Fakulteta za matematiko in fiziko (UL FMF)
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Oznake: fractional Laplacian;nonlocal problems;variational method;Fountain theorem;integrodifferential operator;superlinear nonlinearities;
We study the question of the existence of infinitely many weak solutions for nonlocal equations of fractional Laplacian type with homogeneous Dirichlet boundary data, in presence of a superlinear term. Starting from the well-known Ambrosetti-Rabinowitz condition, we consider different growth assumpt ...
Leto: 2016 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 2
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