Solutions of perturbed Schrödinger equations with electromagnetic fields and critical nonlinearity
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Publication:3074737
DOI10.1017/S0013091509000492zbMath1208.35139MaRDI QIDQ3074737
Publication date: 10 February 2011
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items (12)
Concentration for a biharmonic Schrödinger equation ⋮ Existence of solutions for perturbed elliptic system with critical exponents ⋮ Construction of solutions for the nonlinear magnetic Schrödinger equation in RN ⋮ The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field ⋮ Concentration for a bi-harmonic Schrödinger equation with critical nonlinearity ⋮ Multiplicity of solutions for a NLS equations with magnetic fields in \(\mathbb {R}^{N}\) ⋮ Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities ⋮ Least energy solutions for semilinear Schrödinger equation with electromagnetic fields and critical growth ⋮ On the least energy solutions for semilinear Schrödinger equation with electromagnetic fields involving critical growth and indefinite potentials ⋮ Existence of nontrivial solutions for perturbed elliptic system in \(\mathbb{R}^N\) ⋮ Least energy solutions for a non-linear Schrödinger system with electromagnetic fields and potential wells ⋮ Semiclassical solutions for a class of Schrödinger system with magnetic potentials
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