Infinitely many dichotomous solutions for the Schrödinger-Poisson system

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Cites Work

Non-radial sign-changing solutions for the Schrödinger-Poisson problem in the semiclassical limit
Ground states for Schrödinger-Poisson type systems
On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
Symmetry and related properties via the maximum principle
An eigenvalue problem for the Schrödinger-Maxwell equations
Non-radial multipeak positive solutions for the Schrödinger-Poisson problem
Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
Existence of multi-bump solutions for the Schrödinger-Poisson system
Non-degeneracy and existence of new solutions for the Schrödinger equations
Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
The Schrödinger-Poisson equation under the effect of a nonlinear local term
INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART I: NECESSARY CONDITIONS
SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
Singularly Perturbed Methods for Nonlinear Elliptic Problems
SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART II: EXISTENCE
On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation

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