Multiplicity of solutions for an elliptic Kirchhoff equation

DOI10.1007/s00032-022-00365-yzbMath1505.35190OpenAlexW4297196206MaRDI QIDQ2107605

José Carmona, David Arcoya, Pedro J. Martínez-Aparicio

Publication date: 2 December 2022

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-022-00365-y

zbMATH Keywords

Dirichlet problemexistenceKirchhoff-type equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

• An introduction to nonlinear functional analysis and elliptic problems
• Multiplicity of solutions for some semilinear problems involving nonlinearities with zeros
• Positive solutions of asymptotically linear elliptic eigenvalue problems
• A note on topological degree for potential operators
• Positive solutions of a class of nonlinear eigenvalue problems
• Linear and quasilinear elliptic equations
• On the Existence of Positive Solutions for a Class of Semilinear Elliptic Boundary Value Problems
• On Positive Solutions of Semilinear Elliptic Equations
• On multiple positive solutions of nonlinear elliptic eigenvalue problems
• Semilinear elliptic equations and nonlinearities with zeros

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