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A multiplicity result for quasilinear elliptic equations involving critical sobolev exponents

✍ Scribed by Wei Zhihui; Wu Xinmin


Book ID
107967521
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
467 KB
Volume
18
Category
Article
ISSN
0362-546X

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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

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In this paper, we study a kind of quasilinear elliptic problem which involves multiple critical Hardy-Sobolev exponents and Hardy terms. By employing the variational methods and analytical techniques, the existence of sign-changing solutions to the problem is obtained.