Abstract
We consider periodic problems driven by the ordinary scalar $p$-Laplacian with a Caratheodory nonlinearity. Using variational techniques, coupled with the method of upper and lower solutions, we obtain two nontrivial solutions, with one positive and the other negative.
Citation
Shouchuan Hu. Nikolaos S. Papageorgiou. "Pairs of solutions of constant sign for nonlinear periodic equations with unbounded nonlinearity." Bull. Belg. Math. Soc. Simon Stevin 12 (2) 193 - 208, June 2005. https://doi.org/10.36045/bbms/1117805083
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