Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials

2021/11/28 by Julián López-Gómez, Lopez-Gomez, Julian, Pierpaolo Omari +1 · 1 citation
Engineering · Mathematics · #34B18 #35J93 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2111.14215

openalex publication_date 2021/11/28 · openalex created_date 2023/02/18 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is analyzing existence, multiplicity, and regularity issues for the positive solutions of a Neumann boundary value problem of superlinear indefinite type related to the mean curvature operator with a sublinear potential at infinity.

Cited by

• Global Leray-Schauder continuation for Fredholm operators

Related

• High multiplicity of positive solutions for superlinear indefinite problems with homogeneous Neumann boundary conditions
• A proof of a conjecture on the multiplicity of positive solutions of an indefinite superlinear problem
• Existence, nonexistence and multiplicity of positive solutions for singular quasilinear problems
• Uniqueness and positivity issues in a quasilinear indefinite problem
• Positive solutions for super-sublinear indefinite problems: high multiplicity results via coincidence degree