We establish the existence of an unbounded sequence of solutions for a class of quasilinear elliptic equations involving the anisotropic (p_1(x),...,p_n(x))-Laplace operator, on a bounded domain with smooth boundary. We work on the anisotropic variable exponent Sobolev spaces and our main tool is the symmetric mountain-pass theorem of Ambrosetti and Rabinowitz.
Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent
PUCCI, Patrizia;
2011
Abstract
We establish the existence of an unbounded sequence of solutions for a class of quasilinear elliptic equations involving the anisotropic (p_1(x),...,p_n(x))-Laplace operator, on a bounded domain with smooth boundary. We work on the anisotropic variable exponent Sobolev spaces and our main tool is the symmetric mountain-pass theorem of Ambrosetti and Rabinowitz.File in questo prodotto:
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