6533b7d3fe1ef96bd1260193

RESEARCH PRODUCT

Landesman-Lazer type (p, q)-equations with Neumann condition

Francesca VetroCalogero VetroNikolaos S. Papageorgiou

subject

Pure mathematicsGeneral MathematicsWeak solution010102 general mathematicsNeumann problemcritical pointsaddle point theoremGeneral Physics and AstronomyType (model theory)01 natural sciences(pq)-LaplacianSaddle point theorem010101 applied mathematicsType conditionSettore MAT/05 - Analisi MatematicaNeumann boundary condition0101 mathematicsLandesman-Lazer type conditionMathematics

description

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 the calculus of variations, we show that the problem has at least one nontrivial weak solution.

yearjournalcountryeditionlanguage
2020-06-05Acta Mathematica Scientia
https://doi.org/10.1007/s10473-020-0408-y