Multiplicity of nontrivial solutions for a class of nonlinear Kirchhoff-type equations
DOI10.1186/s13661-015-0452-zzbMath1339.35107OpenAlexW1928543224WikidataQ59436603 ScholiaQ59436603MaRDI QIDQ284014
Hongliang Liu, Haibo Chen, Yueding Yuan
Publication date: 17 May 2016
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-015-0452-z
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of a positive solution to Kirchhoff-type problems without compactness conditions
- Infinitely many solutions for sublinear Schrödinger-Kirchhoff-type equations with general potentials
- Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory
- Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Multiple nontrivial solutions for some fourth-order semilinear elliptic problems
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Existence results of positive solutions of Kirchhoff type problems
- An eigenvalue problem for the Schrödinger-Maxwell equations
- On positive solutions of nonlocal and nonvariational elliptic problems
- Infinite dimensional Morse theory and multiple solution problems
- Existence of positive ground state solutions for Kirchhoff type problems
- Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent
- Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- Multiplicity of high energy solutions for superlinear Kirchhoff equations
- On ground states for the Kirchhoff-type problem with a general critical nonlinearity
- Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
- Infinitely many positive solutions for Kirchhoff-type problems
- High energy solutions of systems of Kirchhoff-type equations in R N
- Some remarks on non local elliptic and parabolic problems
- Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
This page was built for publication: Multiplicity of nontrivial solutions for a class of nonlinear Kirchhoff-type equations
