6533b853fe1ef96bd12ace1a

RESEARCH PRODUCT

Singular (p, q)-equations with superlinear reaction and concave boundary condition

Calogero VetroNikolaos S. PapageorgiouFrancesca Vetro

subject

singular termConcave and convex nonlinearitiesnonlinear maximum principleApplied Mathematics010102 general mathematicsMathematical analysisSingular termBoundary (topology)Mathematics::Spectral Theory01 natural sciences010101 applied mathematicscomparison principlesNonlinear systemSettore MAT/05 - Analisi Matematicanonlinear regularity theoryBoundary value problem0101 mathematicstruncation (pq)-LaplacianAnalysisParametric statisticsMathematics

description

We consider a parametric nonlinear elliptic problem driven by the sum of a p-Laplacian and of a q-Laplacian (a (Formula presented.) -equation) with a singular and (Formula presented.) -superlinear reaction and a Robin boundary condition with (Formula presented.) -sublinear boundary term (Formula presented.). So, the problem has the combined effects of singular, concave and convex terms. We look for positive solutions and prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter varies.

yearjournalcountryeditionlanguage
2020-05-06Applicable Analysis
https://doi.org/10.1080/00036811.2020.1761018