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| Existence of the Eigenvalues for the Cone Degenerate p-Laplacian* |
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Citation： |
Hua CHEN,Yawei WEI.Existence of the Eigenvalues for the Cone Degenerate p-Laplacian*[J].Chinese Annals of Mathematics B,2021,42(2):217~236 |
| Page view： 572
Net amount： 499 |
Authors： |
Hua CHEN; Yawei WEI |
Foundation： |
National Natural Science Foundation of China (Nos. 11771218,11371282, 11631011) and the Fundamental Research Funds for the Central Universities. |
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| Abstract： |
The present paper is concerned with the eigenvalue problem for cone degenerate p-Laplacian. First the authors introduce the corresponding weighted Sobolev spaces with important inequalities and embedding properties. Then by adapting LusternikSchnirelman theory, they prove the existence of infinity many eigenvalues and eigenfunctions. Finally, the asymptotic behavior of the eigenvalues is given. |
Keywords： |
Quasi-linear, Degenerate operator, Variational methods |
Classification： |
35J70, 35J20, 58J05 |
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