Existence results for a class of nonhomogeneous elliptic equations with critical Sobolev exponent
Abstract
In this paper we study the problem(Error rendering LaTeX formula) in
,
on
.Since the embedding of
in
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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![u(x) = 0](http://siba-ese.unile.it/plugins/generic/latexRender/cache/f44b81efc6a18588f688b9d0c2cf0395.png)
!['partial'Omega](http://siba-ese.unile.it/plugins/generic/latexRender/cache/594fd89f0dbc42e238ef96127429795f.png)
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DOI Code:
10.1285/i15900932v13n2p269
Full Text: PDF