Remarks on non homogeneous elliptic Kirchhoff equations

DOI10.1007/s00030-016-0410-1zbMath1388.35042OpenAlexW2533866535MaRDI QIDQ2397171

David Arcoya, Antonio Ambrosetti

Publication date: 29 May 2017

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-016-0410-1

zbMATH Keywords

boundary value problemsKirchhoff equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Boundary value problems for nonlinear higher-order PDEs (35G30)

Related Items (15)

A bifurcation-type result for Kirchhoff equations ⋮ Sobolev versus Hölder local minimizers in degenerate Kirchhoff type problems ⋮ Existence results for a system of Kirchhoff-Schrödinger-Maxwell equations ⋮ Positive solutions for a class of nonlocal problems with possibly singular nonlinearity ⋮ Existence theorems of nontrivial and positive solutions for nonlocal inhomogeneous elliptic problems ⋮ Nonexistence and multiplicity of positive solutions for an equation with degenerate nonlocal diffusion ⋮ Concave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficient ⋮ Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems ⋮ Positive solutions of elliptic Kirchhoff equations ⋮ Positive solutions for a degenerate Kirchhoff problem ⋮ Solutions for a Kirchhoff equation with critical Caffarelli-Kohn-Nirenberg growth and discontinuous nonlinearity ⋮ Existence of positive solutions for a class of semipositone problems with Kirchhoff operator ⋮ Non-local degenerate diffusion coefficients break down the components of positive solutions ⋮ Multiplicity of sign-changing solutions for Kirchhoff-type equations ⋮ Existence of solutions for a nonhomogeneous elliptic Kircchoff type equation

Cites Work

• Positive solutions of elliptic Kirchhoff equations
• An introduction to nonlinear functional analysis and elliptic problems
• Some discontinuous variational problems
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Topological results on a certain class of functionals and application
• Some discontinuous problems with a quasilinear operator
• Morse index of some min-max critical points. I. Application to multiplicity results
• A Variational Method for Boundary Value Problems with Discontinuous Nonlinearities
• A Perturbation Method in Critical Point Theory and Applications
• A New Approach to Lagrange Multipliers

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