Ground state solutions for Schrödinger problems with magnetic fields and Hardy-Sobolev critical exponents

DOI10.1155/2018/2382717zbMath1404.35129OpenAlexW2886842201MaRDI QIDQ1671174

Xiaorui Yue, Min Liu

Publication date: 6 September 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/2382717

zbMATH Keywords

Schrödinger equationground state solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Multiple solutions to nonlinear Schrödinger equations with singular electromagnetic potential
• Multiplicity of solutions for a NLS equations with magnetic fields in \(\mathbb {R}^{N}\)
• Multiple solutions to a magnetic nonlinear Choquard equation
• Multiple solutions for a semilinear elliptic equation with critical growth and magnetic field
• Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
• Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent
• On the number of solutions of NLS equations with magnetics fields in expanding domains
• On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem
• Existence and uniqueness of multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields
• Multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields and critical frequency
• Multiple solutions to a nonlinear Schrödinger equation with Aharonov-Bohm magnetic potential
• Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
• Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field.
• A semilinear Schrödinger equation in the presence of a magnetic field
• Dual variational methods in critical point theory and applications
• Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
• Periodic and Bloch Solutions to a Magnetic Nonlinear Schrödinger Equation
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents

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