Least energy solutions of nonlinear Schrödinger equations involving the half Laplacian and potential wells

DOI10.3934/cpaa.2016.15.1215zbMath1360.35253OpenAlexW2336993996MaRDI QIDQ323995

Miaomiao Niu, Zhongwei Tang

Publication date: 10 October 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.1215

zbMATH Keywords

nonlinear Schrödinger equationvariational methodshalf Laplacianleast energy solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Least energy solutions of nonlinear Schrödinger equations involving the fractional Laplacian and potential wells ⋮ Solutions for the problems involving fractional Laplacian and indefinite potentials

Cites Work

• Unnamed Item
• Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
• A Harnack inequality for fractional Laplace equations with lower order terms
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• On the least energy solutions of nonlinear Schrödinger equations with electromagnetic fields
• Decay and analyticity of solitary waves
• Semi-classical states for nonlinear Schrödinger equations
• Semiclassical states of nonlinear Schrödinger equations
• Multi-peak bound states for nonlinear Schrödinger equations
• Multiple positive solutions for a nonlinear Schrödinger equation
• 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
• On the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation
• Concentrating standing waves for the fractional nonlinear Schrödinger equation
• On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
• Uniqueness of Radial Solutions for the Fractional Laplacian
• Bound state for the fractional Schrödinger equation with unbounded potential
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)_a
• Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations
• Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves
• An Extension Problem Related to the Fractional Laplacian

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