6533b7d6fe1ef96bd126709c

RESEARCH PRODUCT

Nonlinear concave-convex problems with indefinite weight

Francesca VetroCalogero VetroNikolaos S. Papageorgiou

subject

Numerical AnalysisPure mathematicslocal minimizerspositive solutionsNehari manifoldApplied MathematicsRegular polygonLagrange multiplierComputational MathematicsNonlinear systemSettore MAT/05 - Analisi Matematicanonlinear regularityAnalysisMathematics

description

We consider a parametric nonlinear Robin problem driven by the p-Laplacian and with a reaction having the competing effects of two terms. One is a parametric (Formula presented.) -sublinear term (concave nonlinearity) and the other is a (Formula presented.) -superlinear term (convex nonlinearity). We assume that the weight of the concave term is indefinite (that is, sign-changing). Using the Nehari method, we show that for all small values of the parameter (Formula presented.), the problem has at least two positive solutions and also we provide information about their regularity.

yearjournalcountryeditionlanguage
2021-10-24
10.1080/17476933.2021.1988584http://hdl.handle.net/10447/534111