Ground state solution for a fourth order elliptic equation of Kirchhoff type with critical growth in \(\mathbb{R}^N\)
From MaRDI portal
Publication:2682574
DOI10.1155/2022/5820136OpenAlexW4296941709MaRDI QIDQ2682574
Publication date: 1 February 2023
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/5820136
Variational methods applied to PDEs (35A15) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30) Quasilinear elliptic equations (35J62)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nodal solutions for the Choquard equation
- Existence and multiplicity of solutions for a fourth-order elliptic equation
- A guide to the Choquard equation
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Positive solutions for a nonlocal fourth order equation of Kirchhoff type
- Existence results and numerical solutions for a beam equation with nonlinear boundary conditions.
- Ground states for Kirchhoff equation with Hartree-type nonlinearities
- Minimax theorems
- Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
- Double phase problems with competing potentials: concentration and multiplication of ground states
- Existence and concentration of ground-states for fractional Choquard equation with indefinite potential
- Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems
- Multiplicity of solutions to the generalized extensible beam equations with critical growth
- Existence of solutions for fourth order elliptic equations of Kirchhoff type
- Multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent
- A generalization of an extensible beam equation with critical growth in \(\mathbb{R}^N\)
- Initial-boundary value problems for an extensible beam
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations
- Spherically-symmetric solutions of the Schrödinger-Newton equations
- Existence of groundstates for a class of nonlinear Choquard equations
This page was built for publication: Ground state solution for a fourth order elliptic equation of Kirchhoff type with critical growth in \(\mathbb{R}^N\)
