Existence results for a class of nonhomogeneous elliptic equations with critical Sobolev exponent

Authors

  • Rafael Castro
  • Mario Zuluaga

DOI:

https://doi.org/10.1285/i15900932v13n2p269

Abstract

In this paper we study the problem $'Delta u + u|u|2*-2+ f(x)= 0$ in $'Omega$, $u(x) = 0$ on $'partial'Omega$.Since the embedding of $H01('Omega)$ in $L2*('Omega)$ is not compact, classical variational and fixed-points approaches can not be applied to find solutions.We study that problem by making use of a fixed-point Theorem as well as one from approximation methods.

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Published

01-01-1993

Issue

Volume 13, Issue 2 (1993)

Section

Articoli

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