Nontrivial solutions of Kirchhoff type problems
From MaRDI portal
Publication:427657
DOI10.1016/j.aml.2011.09.045zbMath1251.35027OpenAlexW2007767001MaRDI QIDQ427657
Publication date: 14 June 2012
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.045
Variational methods involving nonlinear operators (47J30) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60)
Related Items (37)
Existence and multiplicity of positive solutions for a class of Kirchhoff type problems with nonlinear boundary conditions ⋮ Existence and multiplicity results for Kirchhoff problems ⋮ Multiplicity results for the Kirchhoff type equation via critical groups ⋮ Multiple small solutions for Kirchhoff equation with local sublinear nonlinearities ⋮ The existence of sign-changing solutions for Schrödinger-Kirchhoff problems in \(\mathbb{R}^3\) ⋮ Positive solution for a superlinear Kirchhoff type problem with a parameter ⋮ Existence of solutions for Kirchhoff type problems with resonance at higher eigenvalues ⋮ Existence and multiplicity results for infinitely many solutions for Kirchhoff-type problems in RN ⋮ Bifurcation of positive solutions for a nonlocal problem ⋮ Positive solutions for nonlinear Schrödinger-Kirchhoff equations in \(\mathbb{R}^3\) ⋮ Multiple solutions for Kirchhoff equations under the partially sublinear case ⋮ Solutions of a Schrödinger-Kirchhoff-Poisson system with concave-convex nonlinearities ⋮ Existence and multiplicity of solutions for asymptotically linear Schrödinger-Kirchhoff equations ⋮ Existence and multiplicity of solutions for Kirchhoff-type equation with radial potentials in \(\mathbb{R}^{3}\) ⋮ Unnamed Item ⋮ Some perturbation results of Kirchhoff type equations via Morse theory ⋮ Nonhomogeneous elliptic Kirchhoff equations of the \(p\)-Laplacian type ⋮ Kirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities ⋮ Unnamed Item ⋮ Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions ⋮ Positive solutions for a nonhomogeneous Kirchhoff equation with the asymptotical nonlinearity in \(R^3\) ⋮ Infinitely many solutions for sublinear Schrödinger-Kirchhoff-type equations with general potentials ⋮ Existence and multiplicity results for Kirchhoff-type problem with sublinear nonlinearity ⋮ Multiple nontrivial solutions to a \(p\)-Kirchhoff equation ⋮ Weak and positive solutions for Kirchhoff type elliptic problems ⋮ Critical groups and multiple solutions for Kirchhoff type equations with critical exponents ⋮ Existence and multiplicity of nontrivial solutions for a nonlocal problem ⋮ Nonexistence and existence of positive solutions for the Kirchhoff type equation ⋮ Unnamed Item ⋮ Existence of solutions for sublinear Kirchhoff problems with sublinear growth ⋮ Ground state solutions for asymptotically periodic coupled Kirchhoff-type systems with critical growth ⋮ Existence and multiplicity of solutions for Kirchhoff type problems with parameter ⋮ Multiple solutions for Schrödinger-Kirchhoff equations with indefinite potential ⋮ Multiplicity of solutions for Kirchhoff-type problem with two-superlinear potentials ⋮ Positive solutions for a class of nonhomogeneous Kirchhoff-Schrödinger-Poisson systems ⋮ Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem ⋮ Standing waves for 4-superlinear Schrödinger-Kirchhoff equations
Cites Work
- Unnamed Item
- On a superlinear elliptic equation
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Multiplicity of solutions for a class of Kirchhoff type problems
- Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
- Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
- Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
- EXISTENCE OF SOLUTIONS FOR ASYMPTOTICALLY ‘LINEAR’ ${p}$-LAPLACIAN EQUATIONS
- Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
This page was built for publication: Nontrivial solutions of Kirchhoff type problems
