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Multiplicity of positive solutions for semilinear elliptic equations involving the critical sobolev exponents

✍ Scribed by Daomin Cao; Xiao Zhong

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
932 KB
Volume
29
Category
Article
ISSN
0362-546X

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The existence and multiplicity of positive solutions are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents and the concaveconvex nonlinearity by variational methods and some analysis techniques.

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The main results of this paper establish, via the variational method, the multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents under the presence of symmetry. The concentration-compactness principle allows to prove that the Palais-Smale condition is satisf