Positive Ground State Solutions for Schrödinger-Poisson System with General Nonlinearity and Critical Exponent
From MaRDI portal
Publication:5880862
DOI10.4208/jpde.v36.n1.5OpenAlexW4312072459WikidataQ117217795 ScholiaQ117217795MaRDI QIDQ5880862
Publication date: 6 March 2023
Published in: Journal of Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/jpde.v36.n1.5
mountain pass theoremSobolev critical exponentSchrödinger-Poisson systempositive ground state solution
Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Cites Work
- Unnamed Item
- Positive solutions for Schrödinger-Poisson systems with sign-changing potential and critical growth
- Multiplicity of positive solutions for a nonlinear Schrödinger-Poisson system
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- Critical point theory and Hamiltonian systems
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Positive solutions for a Schrödinger-Poisson system involving concave-convex nonlinearities
- Minimax theorems
- Existence of positive ground state solutions of Schrödinger-Poisson system involving negative nonlocal term and critical exponent on bounded domain
- On a Schrödinger-Poisson system with singularity and critical nonlinearities
- Existence of nontrivial solutions for Schrödinger-Poisson systems with critical exponent on bounded domains
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- Multiple positive solutions for Schrödinger‐Poisson system involving singularity and critical exponent