Existence and convergence of solutions for nonlinear elliptic systems on graphs

Variational methods applied to PDEs (35A15) Variational principles in infinite-dimensional spaces (58E30) Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

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On uniqueness class for a heat equation on graphs
Kazdan-Warner equation on graph
Multiplicity and concentration of solutions for elliptic systems with vanishing potentials
Yamabe type equations on graphs
Existence and multiplicity results for some elliptic systems at resonance
Existence results for some nonlinear elliptic systems
Remarks on a semilinear elliptic equation on \({\mathbb{R}}^ n\)
On a class of nonlinear Schrödinger equations
Infinitely many nonradial solutions of a Euclidean scalar field equation
Multiple positive solutions for a nonlinear Schrödinger equation
On systems of elliptic equations involving subcritical or critical Sobolev exponents
Entropy dissipation of Fokker-Planck equations on graphs
Existence of positive solutions to some nonlinear equations on locally finite graphs
A discrete Schrödinger equation via optimal transport on graphs
Convergence of ground state solutions for nonlinear Schrödinger equations on graphs
Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential
Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs
Multiplicity of solutions for a class of quasilinear Schrödinger systems in \(\mathbb R^N\)
Ground states of a nonlinear Schrödinger system with nonconstant potentials
Existence and convergence of solutions for nonlinear biharmonic equations on graphs
Blow-up problems for nonlinear parabolic equations on locally finite graphs
The existence and nonexistence of global solutions for a semilinear heat equation on graphs
Existence of nonzero weak solutions for a class of elliptic variational inclusions systems in \(\mathbb R^N\)
Multiple positive solutions for a quasilinear system of Schrödinger equations
Local mountain pass for a class of elliptic system
SOLUTIONS FOR A RESONANT ELLIPTIC SYSTEM WITH COUPLING IN
Sign-changing multi-bump solutions for nonlinear Schrödinger equations with steep potential wells
Existence and multiplicity results for some superlinear elliptic problems on R^N
Nonlinear elliptic systems

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