Analysis of positive solutions for a class of semipositone \(p\)-Laplacian problems with nonlinear boundary conditions

DOI10.3934/cpaa.2019055zbMath1418.34057OpenAlexW2899669794MaRDI QIDQ1733894

Inbo Sim, Eun Kyoung Lee, Byungjae Son, Ratnasingham Shivaji

Publication date: 21 March 2019

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019055

zbMATH Keywords

existenceuniquenesspositive solutionsnonlinear boundary conditionssemipositone$p$-Laplacian$p$-sublinear growth at infinity

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (7)

A uniqueness result for a \(p\)-Laplacian infinite semipositone problem involving nonlinear boundary conditions ⋮ Continuum of one‐sign solutions of one‐dimensional Minkowski‐curvature problem with nonlinear boundary conditions ⋮ Positive solutions to classes of infinite semipositone \((p,q)\)-Laplace problems with nonlinear boundary conditions ⋮ Positive radial solutions to classes of \(p\)-Laplacian systems on the exterior of a ball with nonlinear boundary conditions ⋮ Analysis of positive radial solutions for singular superlinear \(p\)-Laplacian systems on the exterior of a ball ⋮ Positive radial solutions to singular nonlinear elliptic problems involving nonhomogeneous operators ⋮ A class of singular coupled systems of superlinear Monge-Ampère equations

Cites Work

• Unnamed Item
• A uniqueness result for a semipositone \(p\)-Laplacian problem on the exterior of a ball
• Uniqueness of positive radial solutions for a class of semipositone problems on the exterior of a ball
• Positive radial solutions for elliptic equations on exterior domains with nonlinear boundary conditions
• Population models with diffusion, strong Allee effect, and nonlinear boundary conditions
• Positive radial solutions to classes of singular problems on the exterior domain of a ball
• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Uniqueness of positive solutions for a class of quasilinear problems
• Density dependent behavior at habitat boundaries and the Allee effect
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Spatial Ecology via Reaction‐Diffusion Equations
• Robin boundary value problems on arbitrary domains

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