6533b823fe1ef96bd127f64d

RESEARCH PRODUCT

Positive solutions for singular (p, 2)-equations

Francesca VetroCalogero VetroNikolaos S. Papageorgiou

subject

Dirichlet problemApplied MathematicsGeneral Mathematics010102 general mathematicsNonparametric statisticsSingular termGeneral Physics and AstronomyPerturbation (astronomy)Mathematics::Spectral Theory01 natural sciences010101 applied mathematicsNonlinear systemSettore MAT/05 - Analisi MatematicaSingular term Superlinear perturbation Positive solution Nonlinear regularity Truncation Maximum principle Double phase problemApplied mathematics0101 mathematicsLaplace operatorMathematics

description

We consider a nonlinear nonparametric Dirichlet problem driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation) and a reaction which involves a singular term and a $$(p-1)$$ -superlinear perturbation. Using variational tools and suitable truncation and comparison techniques, we show that the problem has two positive smooth solutions.

yearjournalcountryeditionlanguage
2019-04-11Zeitschrift für angewandte Mathematik und Physik
https://doi.org/10.1007/s00033-019-1117-z