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.File in questo prodotto:
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