Abstract
In this paper we study a scalar Neumann problem driven by the ordinary p-Lapacian and a nonsmooth potential. The nonlinearity exhibits an asymmetric behavior. Namely growth restriction is imposed in one direction only (either the positive direction or the negative direction). Using a variational approach based on the nonsmooth critical point theory for locally Lipschitz function, we prove the existence of a solution.
Citation
Shouchuan Hu. Nikolaos S. Papageorgiou. "Nonlinear Neumann problems with asymmetric nonsmooth potential." Bull. Belg. Math. Soc. Simon Stevin 12 (3) 417 - 433, September 2005. https://doi.org/10.36045/bbms/1126195346
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