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Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
We prove existence results for discontinuous functional equations in general Lp-spaces and apply these results to the solvability of implicit and explicit elliptic boundary-value problems involving discontinuous nonlinearities. ...
Sign-changing and multiple solutions for the p-Laplacian
We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.