This paper deals with the existence of nontrivial solutions for a class of nonlinear elliptic equations driven by an anisotropic Laplacian operator. In particular, the existence of two nontrivial solutions is obtained, adapting a two critical point results to a suitable functional framework that involves the anisotropic Sobolev spaces.
Bonanno, G., D'Agui, G., Sciammetta, A. (2021). Existence Of Two Positive Solutions For Anisotropic Nonlinear Elliptic Equations. ADVANCES IN DIFFERENTIAL EQUATIONS, 26(5-6), 229-258 [10.57262/ade026-0506-229].
Existence Of Two Positive Solutions For Anisotropic Nonlinear Elliptic Equations
Sciammetta, A
2021-01-01
Abstract
This paper deals with the existence of nontrivial solutions for a class of nonlinear elliptic equations driven by an anisotropic Laplacian operator. In particular, the existence of two nontrivial solutions is obtained, adapting a two critical point results to a suitable functional framework that involves the anisotropic Sobolev spaces.
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