The aim of this paper is to develop an abstract two critical points result for general nonsmooth functions. Based on this, in particular, we are able to show the existence of at least two positive weak solutions for elliptic Dirichlet problems involving the p-Laplacian with discontinuous nonlinearities.
A two critical points theorem for non-differentiable functions and applications to highly discontinuous PDE's
Gabriele Bonanno
Primo
;Giuseppina D'AguìSecondo
;
2019-01-01
Abstract
The aim of this paper is to develop an abstract two critical points result for general nonsmooth functions. Based on this, in particular, we are able to show the existence of at least two positive weak solutions for elliptic Dirichlet problems involving the p-Laplacian with discontinuous nonlinearities.File in questo prodotto:
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BoDaWI Pure and Applied Functional Analysis, 4, 4, 2019.pdf
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BoDaWI Pure and Applied Functional Analysis, 4, 4, 2019.pdf
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