Concentration for a biharmonic Schrödinger equation
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Publication:2363199
DOI10.2140/PJM.2017.289.469zbMath1373.35107OpenAlexW2725551267MaRDI QIDQ2363199
Publication date: 13 July 2017
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2017.289.469
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Schrödinger operator, Schrödinger equation (35J10) Variational methods for higher-order elliptic equations (35J35)
Cites Work
- Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
- On positive solutions concentrating on spheres for the Gierer-Meinhardt system
- Well-posedness of Cauchy problem for the fourth order nonlinear Schrödinger equations in multi-dimensional spaces
- Bound states for semilinear Schrödinger equations with sign-changing potential
- On a class of nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Multiplicity of positive solutions of a nonlinear Schrödinger equation
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- 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
- The global Cauchy problem and scattering of solutions for nonlinear Schrödinger equations in \(H^s\).
- A semilinear Schrödinger equation in the presence of a magnetic field
- Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities
- Standing wave solutions of the nonlinear Schrödinger equation in \(\mathbb R^N\)
- On an electromagnetic Schrödinger equation with critical growth
- Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials
- Wellposedness for the fourth order nonlinear Schrödinger equations
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Solutions of perturbed Schrödinger equations with electromagnetic fields and critical nonlinearity
- Self-Focusing with Fourth-Order Dispersion
- Modified wave operators for the fourth-order non-linear Schrödinger-type equation with cubic non-linearity
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Homoclinic type solutions for a semilinear elliptic PDE on ℝn
- NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Dispersion estimates for fourth order Schrödinger equations
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