We study a general anisotropic nonlinear boundary value problem in a bounded domain with smooth boundary and a positive real parameter. By analyzing the growth of the main exponent functions involved in the equation, we prove in this paper several existence results in Sobolev spaces with variable exponents.

Nonhomogeneous boundary value problems in anisotropic Sobolev spaces, or Problemes aux limites non homogenes en espaces de Sobolev anisotropiques

PUCCI, Patrizia;
2007

Abstract

We study a general anisotropic nonlinear boundary value problem in a bounded domain with smooth boundary and a positive real parameter. By analyzing the growth of the main exponent functions involved in the equation, we prove in this paper several existence results in Sobolev spaces with variable exponents.
2007
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/116999
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