INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM INVOLVING THE p-LAPLACIAN IN ANNULUS

Anderson L. A. de Araújo · Far East Journal of Applied Mathematics · 2017

We present a result of existence of infinitely many solutions for the Dirichlet problem involving the p-Laplacian in annular domains, when $p\leq N$, contouring the failure of compactness of $W^{1,p}(Ω)$ in $C^0(\barΩ)$ applying a variable change.

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