A class of semilinear elliptic equations on groups of polynomial growth
From MaRDI portal
Publication:6046539
DOI10.1016/j.jde.2023.03.025zbMath1515.35106MaRDI QIDQ6046539
Lidan Wang, Ruowei Li, Bobo Hua
Publication date: 11 May 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items
The ground state solutions to discrete nonlinear Choquard equations with Hardy weights ⋮ Normalized solutions for nonlinear Schrödinger equations on graphs ⋮ Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs ⋮ Topological degree for Chern-Simons Higgs models on finite graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Kazdan-Warner equation on graph
- Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
- Yamabe-type equations on complete, noncompact manifolds
- Yamabe equations on infinite graphs
- Gaussian curvature on singular surfaces
- A quasi-linear elliptic equation with critical growth on compact Riemannian manifold without boundary
- Yamabe type equations on graphs
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Classification of solutions of some nonlinear elliptic equations
- Existence of solitary waves in higher dimensions
- Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
- Entire solutions of semilinear elliptic equations
- \(p\)-th Kazdan-Warner equation on graph in the negative case
- Existence of positive solutions to some nonlinear equations on locally finite graphs
- Positive solutions of \(p\)-th Yamabe type equations on graphs
- The Kazdan-Warner equation on canonically compactifiable graphs
- Convergence of ground state solutions for nonlinear Schrödinger equations on graphs
- On the existence of positive entire solutions of a semilinear elliptic equation
- A note on the Kazdan-Warner type conditions
- Minimax theorems
- Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches
- The existence of extremal functions for discrete Sobolev inequalities on lattice graphs
- Curvature functions for compact 2-manifolds
- A class of Adams-Fontana type inequalities and related functionals on manifolds
- Existence and convergence of solutions for nonlinear biharmonic equations on graphs
- On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)
- A note on curvature and fundamental group
- Growth of finitely generated solvable groups
- Growth of finitely generated solvable groups and curvature of Riemannian manifolds
- On the existence and structure of stationary states for a nonlinear Klein-Gordon equation
- Kazdan-Warner equation on graph in the negative case
- General class of optimal Sobolev inequalities and nonlinear scalar field equations
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- A priori bounds for positive solutions of nonlinear elliptic equations
- Global and local behavior of positive solutions of nonlinear elliptic equations
- A 𝑝-th Yamabe equation on graph
- Positive solutions of $p$-th Yamabe type equations on infinite graphs
- A positive solution for a nonlinear Schroedinger equation on R^N
- A note on Liouville type equations on graphs
- Kazdan-Warner equation on infinite graphs
- A Note on the Problem of Prescribing Gaussian Curvature on Surfaces
- EXISTENCE OF GLOBAL SOLUTIONS TO SOME NONLINEAR EQUATIONS ON LOCALLY FINITE GRAPHS
- Nonradial solutions of nonlinear scalar field equations
- The 1-Yamabe equation on graphs
- The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
This page was built for publication: A class of semilinear elliptic equations on groups of polynomial growth