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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 'Omega, u(x) = 0 on 'partial'Omega.Since the embedding of H<sub>0</sub><sup>1</sup>('Omega) in L<sup>2<sup>*</sup></sup>('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.

DOI Code: 10.1285/i15900932v13n2p269

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