Sub- and super-solutions in bifurcation problems

DOI10.1016/0362-546X(95)00174-TzbMath0865.35015OpenAlexW2076071509MaRDI QIDQ5689165

José Luis Gámez

Publication date: 17 July 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00174-t

zbMATH Keywords

principal eigenvalueasymptotic behaviour of a branch of positive solutionsbranch of sub-solutionsbranch of super-solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Bifurcations in context of PDEs (35B32)

Related Items (15)

Multiplicity of solutions for a Dirichlet problem with a strongly singular nonlinearity ⋮ Unnamed Item ⋮ On positive solutions for a class of quasilinear elliptic equations ⋮ Existence results of positive solutions for Kirchhoff type equations via bifurcation methods ⋮ Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary ⋮ Asymptotic behavior of degenerate logistic equations ⋮ On the construction of super and subsolutions for elliptic equations on all of N ⋮ Uniqueness and existence of positive solutions for, weakly coupled general sublinear systems ⋮ Refuge versus dispersion in the logistic equation ⋮ On the existence of postive solutions for some indefinite superlinear elliptic problems ⋮ On the existence of positive solutions for semilinear elliptic equations with indefinite nonlinearities ⋮ On two problems studied by A. Ambrosetti ⋮ On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem ⋮ \(S\)-shaped bifurcation branch in a quasilinear multivalued model arising in climatology ⋮ Growing-up positive solutions of semilinear elliptic boundary value problems

Cites Work

• Unnamed Item
• Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
• Global bifurcation results for a semilinear elliptic equation on all of \(\mathbb{R}^ N\)
• On the solvability of a semilinear elliptic equation via an associated eigenvalue problem
• Some global results for nonlinear eigenvalue problems
• On some linear and nonlinear eigenvalue problems with an indefinite weight function
• On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
• Principal Eigenvalues for Indefinite-Weight Elliptic Problems in R n

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