Positive solutions of elliptic equations with discontinuous nonlinearities

Gabriele Bonanno, Salvatore A. Marano

DOI: http://dx.doi.org/10.12775/TMNA.1996.032

Abstract


In this paper an existence theorem of positive solutions to the Dirichlet problem
for elliptic equations having nonlinear terms with an uncountable set of discontinuities
is established. Some applications to special cases, such as problems
with critical Sobolev growth, are also presented. The approach taken is strictly
based on set-valued analysis and fixed point arguments.

Keywords


elliptic equations; discontinuous nonlinearities; positive solutions; existence theorems

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