Existence of positive radial solutions for a semipositone elliptic equation

DOI10.1016/J.JMAA.2019.123735zbMath1439.35177OpenAlexW2990462749WikidataQ126667809 ScholiaQ126667809MaRDI QIDQ2287339

Ryuji Kajikiya, Eunkyoung Ko

Publication date: 20 January 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123735

zbMATH Keywords

semilinear equation with Laplacianexistence of positive radial solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (8)

Nontrivial solutions for the polyharmonic problem: existence, multiplicity and uniqueness ⋮ Bifurcations from degenerate orbits of solutions of nonlinear elliptic systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Infinitely many radial solutions of superlinear elliptic problems with dependence on the gradient terms in an annulus ⋮ Existence of positive solutions for a class of semipositone problems with Kirchhoff operator ⋮ Positive solutions for an iterative system of nonlinear elliptic equations ⋮ Existence of infinitely many positive radial solutions for an iterative system of nonlinear elliptic equations on an exterior domain

Cites Work

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• Existence results for classes of sublinear semipositone problems
• Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions
• Existence of positive solutions for semilinear elliptic equations in general domains
• Positive solutions for some semi-positone problems via bifurcation theory
• On positive solutions for classes of \(p\)-Laplacian semipositone systems
• Positive solutions for semi-positone systems in an annulus
• Non-negative solutions for a class of non-positone problems
• Positive solutions for a concave semipositone Dirichlet problem
• Uniqueness of stable and unstable positive solutions for semipositone problems
• Diffusive logistic equation with constant yield harvesting, I: Steady States
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities

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