Kirchhoff-type problems on a geodesic ball of the hyperbolic space

DOI10.1016/j.na.2018.11.003zbMath1419.58018OpenAlexW2903365339WikidataQ128862566 ScholiaQ128862566MaRDI QIDQ2312579

Giovanni Molica Bisci

Publication date: 17 July 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.11.003

zbMATH Keywords

variational methodshyperbolic spacemultiple solutionsPoincaré modelelliptic problems on manifolds

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems on manifolds (58J32) Optimality conditions for free problems in two or more independent variables (49K10) PDEs on manifolds (35R01)

Related Items (5)

On nonlinear Schrödinger equations on the hyperbolic space ⋮ On the nonlinear Schrödinger equation on the Poincaré ball model ⋮ Concentration phenomenon of solutions for a class of Kirchhoff-type equations with critical growth ⋮ Multi-peak solutions of a type of Kirchhoff equations with critical exponent ⋮ Unnamed Item

Cites Work

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• Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
• Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
• Yamabe-type equations on Carnot groups
• Multiple solutions for a Kirchhoff-type problem involving the \(p(x)\)-Laplacian operator
• On well-posedness of semilinear parabolic and elliptic problems in the hyperbolic space
• A uniqueness result for a nonlocal equation of Kirchhoff type and some related open problem
• The principle of symmetric criticality
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Compactness and the Palais-Smale property for critical Kirchhoff equations in closed manifolds
• On an elliptic Kirchhoff-type problem depending on two parameters
• Global nonexistence for nonlinear Kirchhoff systems
• A further three critical points theorem
• Lectures on hyperbolic geometry
• The strong maximum principle revisited.
• \((p, q)\) systems with critical terms in \(\mathbb{R}^N\)
• Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group
• Stationary Kirchhoff equations with powers
• Critical Schrödinger-Hardy systems in the Heisenberg group
• A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
• On doubly nonlocal fractional elliptic equations
• Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator
• Existence of entire solutions for a class of variable exponent elliptic equations
• A critical Kirchhoff type problem involving a nonlocal operator
• Stationary Kirchhoff systems in closed high dimensional manifolds
• Sequences of Weak Solutions for Non-Local Elliptic Problems with Dirichlet Boundary Condition
• On the existence of stationary solutions for higher-order p-Kirchhoff problems
• On a fractional degenerate Kirchhoff-type problem
• Multiplicity of solutions for critical Kirchhoff type equations
• On a semilinear elliptic equation in Hn
• Maximum Principles for Inhomogeneous Elliptic Inequalities on Complete Riemannian Manifolds
• Variational Methods for Nonlocal Fractional Problems
• Applications of local linking to nonlocal Neumann problems
• Nondegeneracy of positive solutions of semilinear elliptic problems in the hyperbolic space

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