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Multiple solutions to p-Laplacian equation with singularity and cylindrical symmetry

✍ Scribed by Benjin Xuan

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
184 KB
Volume
55
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we shall investigate the existence of multiple (positive) weak solutions for the Dirichlet problem of the p-Laplacian with singularity and cylindrical symmetry. The results depends heavily on parameters n; p; q; r; s and ΒΏ 0. By the technical decomposition of the associated Nehari manifold into three parts + ; -and 0, and some compactness condition such as (PS) condition or local (PS) condition ((PS)c condition) at certain level of energy, we obtain two nonnegative minimizers of the energy functional on + and -, respectively.

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