Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials
Julian Lopez-Gomez, Pierpaolo Omari
TL;DR
This paper investigates the existence, multiplicity, and regularity of positive solutions for a Neumann boundary value problem involving the mean curvature operator with a sublinear potential, focusing on regular and singular solutions in indefinite problems.
Contribution
It provides new insights into the behavior of solutions in quasilinear indefinite problems with sublinear potentials, including conditions for existence and multiplicity.
Findings
Existence of positive solutions under certain conditions.
Multiplicity results for solutions.
Regularity properties of solutions.
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.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Differential Equations and Boundary Problems · Numerical methods in engineering