This work is devoted to study the existence of solutions to nonlocal equations involving the p-Laplacian. More precisely, we prove the existence of at least one nontrivial weak solution, and under additional assumptions, the existence of infinitely many weak solutions. In order to apply mountain pass results, we require rather general assumptions on on the local operator. Finally, a concrete application is presented.
Mountain Pass Solutions for Nonlocal Equations
Molica Bisci G;
2014-01-01
Abstract
This work is devoted to study the existence of solutions to nonlocal equations involving the p-Laplacian. More precisely, we prove the existence of at least one nontrivial weak solution, and under additional assumptions, the existence of infinitely many weak solutions. In order to apply mountain pass results, we require rather general assumptions on on the local operator. Finally, a concrete application is presented.File in questo prodotto:
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