Ground state solutions for the nonlinear Schrödinger-Maxwell equations
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Publication:930980
DOI10.1016/j.jmaa.2008.03.057zbMath1147.35091arXivmath/0703677OpenAlexW2024025060MaRDI QIDQ930980
Alessio Pomponio, Antonio Azzollini
Publication date: 24 June 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0703677
Variational inequalities (49J40) Maximum principles in context of PDEs (35B50) NLS equations (nonlinear Schrödinger equations) (35Q55) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- On the existence of a solution for elliptic system related to the Maxwell-Schrödinger equations
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- On a class of nonlinear Schrödinger equations
- Best constant in Sobolev inequality
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Solitons and the electromagnetic field
- Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell's equations
- Minimax theorems
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- Multiple solitary waves for non-homogeneous Schrödinger-Maxwell equations
- Neumann condition in the Schrödinger-Maxwell system
- Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\)
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
- A multiplicity result for the Schrodinger–Maxwell equations with negative potential
- Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
- On a “Zero Mass” Nonlinear Schrödinger Equation
- Multiple Solitary Waves For a Non-homogeneous Schrödinger–Maxwell System in ℝ3
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