We consider a Neumann problem driven by the (p,q)-Laplacian under the Landesman-Lazer type condition. Using the classical saddle point theorem and other classical results of calculus of variations, we show that the problem has at least one nontrivial weak solution.
Papageorgiou Nikolaos S., V.C. (2020). Landesman-Lazer type (p,q)-equations with Neumann condition. ACTA MATHEMATICA SCIENTIA, 40(4), 991-1000 [10.1007/s10473-020-0408-y].
Landesman-Lazer type (p,q)-equations with Neumann condition
VETRO C;
2020-01-01
Abstract
We consider a Neumann problem driven by the (p,q)-Laplacian under the Landesman-Lazer type condition. Using the classical saddle point theorem and other classical results of calculus of variations, we show that the problem has at least one nontrivial weak solution.
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