Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds
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Publication:6187512
DOI10.12775/tmna.2022.034MaRDI QIDQ6187512
Csaba Varga, Csaba Farkas, Sándor Kajántó
Publication date: 15 January 2024
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-61/issue-2/Lower-semicontinuity-of-Kirchhoff-type-energy-functionals-and-spectral-gaps/10.12775/TMNA.2022.034.full
Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)
Cites Work
- Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity
- Sharp constants in several inequalities on the Heisenberg group
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Compactness and the Palais-Smale property for critical Kirchhoff equations in closed manifolds
- Functional analysis, Sobolev spaces and partial differential equations
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- Sign-changing multi-bump solutions for Kirchhoff-type equations in \(\mathbb{R}^3\)
- Minimax theorems
- Multiplicity of solutions for a Kirchhoff equation with subcritical or critical growth.
- Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
- On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension
- Multiple positive solutions for a class of Kirchhoff type problems involving critical Sobolev exponents
- The critical problem of Kirchhoff type elliptic equations in dimension four
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- Stationary Kirchhoff systems in closed high dimensional manifolds
- Multiplicity of solutions for critical Kirchhoff type equations
- Multiplicity of solutions for Kirchhoff type equations involving critical Sobolev exponents in high dimension
- On an elliptic equation of p-Kirchhoff type via variational methods
- On a class of nonlocal elliptic problems with critical growth
- Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
- Some remarks on non local elliptic and parabolic problems
- Direct methods in the calculus of variations
