Existence of the Eigenvalues for the Cone Degenerate p-Laplacian
Hua Chen , Yawei Wei
Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (2) : 217 -236.
Existence of the Eigenvalues for the Cone Degenerate p-Laplacian
The present paper is concerned with the eigenvalue problem for cone degenerate p-Laplacian. First the authors introduce the corresponding weighted Sobolev s-paces with important inequalities and embedding properties. Then by adapting Lusternik-Schnirelman theory, they prove the existence of infinity many eigenvalues and eigenfunctions. Finally, the asymptotic behavior of the eigenvalues is given.
Quasi-linear / Degenerate operator / Variational methods
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