Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential

DOI10.1515/ans-2020-2083OpenAlexW3024524527MaRDI QIDQ783319

Pierpaolo Omari, Julián López-Gómez

Publication date: 12 August 2020

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11368/2961235

zbMATH Keywords

Asymptotic Profile MSC 2Bounded Variation SolutionClassical SolutionFormation of SingularitiesMean Curvature OperatorNeumann Boundary Condition,Indefinite WeightPositive Solution,Regular SolutionQuasilinear Problem

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (8)

Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions ⋮ Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials ⋮ A modified Picone-type identity and the uniqueness of positive symmetric solutions for a prescribed mean curvature problem ⋮ Positive solutions of indefinite logistic growth models with flux-saturated diffusion ⋮ Positive solutions of superlinear indefinite prescribed mean curvature problems ⋮ Branches of positive solutions of a superlinear indefinite problem driven by the one-dimensional curvature operator ⋮ Optimal regularity results for the one-dimensional prescribed curvature equation via the strong maximum principle ⋮ Global bifurcation diagrams of positive solutions for a class of 1D superlinear indefinite problems*

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