Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation
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Publication:983277
DOI10.1016/j.jde.2010.03.022zbMath1193.35161OpenAlexW2036620339MaRDI QIDQ983277
Publication date: 22 July 2010
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2010.03.022
Existence of solutions for minimax problems (49J35) PDEs in connection with quantum mechanics (35Q40)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
- On positive solutions concentrating on spheres for the Gierer-Meinhardt system
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Existence of stationary states for nonlinear Dirac equations
- Existence of excited states for a nonlinear Dirac field
- Ground state solutions for some indefinite variational problems
- Existence of localized solutions for a classical nonlinear Dirac field
- On a class of nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- On a singularly perturbed elliptic equation
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- On concentration of positive bound states of nonlinear Schrödinger equations
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Stationary states of the nonlinear Dirac equation: A variational approach
- Minimax theorems
- Solutions of nonlinear Dirac equations
- Infinitely many solutions for a class of nonlinear Dirac equations without symmetry
- Existence of standing waves for Dirac fields with singular nonlinearities
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Schrödinger semigroups
- Nonlinear Spinor Field
- Variational methods in relativistic quantum mechanics
- STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
- Homoclinic type solutions for a semilinear elliptic PDE on ℝn
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
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