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.
Citation
Gabriele Bonanno. Salvatore A. Marano. "Positive solutions of elliptic equations with discontinuous nonlinearities." Topol. Methods Nonlinear Anal. 8 (2) 263 - 273, 1996.
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