6533b824fe1ef96bd12800db

RESEARCH PRODUCT

Singular Neumann (p, q)-equations

Calogero VetroFrancesca VetroNikolaos S. Papageorgiou

subject

TruncationGeneral MathematicsResonant nonlinearity0211 other engineering and technologies02 engineering and technology01 natural sciencesPotential theoryTruncation and comparisonTheoretical Computer ScienceSettore MAT/05 - Analisi MatematicaNeumann boundary conditionApplied mathematics0101 mathematics(p q)-equationNonlinear regularityMathematicsParametric statistics021103 operations research010102 general mathematicsSingular termSingular termMathematics::Spectral TheoryOperator theoryTerm (time)Nonlinear systemNonlinear strong maximum principleAnalysis

description

We consider a nonlinear parametric Neumann problem driven by the sum of a p-Laplacian and of a q-Laplacian and exhibiting in the reaction the competing effects of a singular term and of a resonant term. Using variational methods together with suitable truncation and comparison techniques, we show that for small values of the parameter the problem has at least two positive smooth solutions.

yearjournalcountryeditionlanguage
2019-11-13Positivity
https://doi.org/10.1007/s11117-019-00717-w