Concentration-compactness for singular nonlocal Schrödinger equations with oscillatory nonlinearities
type: Item
instance of: scholarly article
title: Concentration-compactness for singular nonlocal Schrödinger equations with oscillatory nonlinearities
zbMATH Open document ID: 1415.35135
DOI: 10.12775/TMNA.2018.005
author: Diego Ferraz
author: João Marcos do Ó
published in: Topological Methods in Nonlinear Analysis
publication date: 2019-05-07T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.tmna/1532484291
Mathematics Subject Classification ID: 35J75
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7051674
zbMATH Keywords: fractional Schrödinger equation
zbMATH Keywords: concentration-conpactness principle
zbMATH Keywords: critical Sobolev exponents
MaRDI profile type: Publication
cites work: Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
cites work: Q4826746
cites work: Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Ground States of some Fractional Schrödinger Equations on ℝN
cites work: Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
cites work: Schrödinger equations with critical nonlinearity, singular potential and a ground state
cites work: On interpolation of cocompact imbeddings
cites work: Schrödinger equations with asymptotically periodic terms
cites work: On a class quasilinear Schrödinger equations in ℝn
cites work: Solutions of Schrödinger equations with inverse square potential and critical nonlinearity
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
cites work: Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
cites work: Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
cites work: Concentration-compactness principle for nonlocal scalar field equations with critical growth
cites work: Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations
cites work: Monotonicity and nonexistence results for some fractional elliptic problems in the half-space
cites work: Existence of Blowing-up Solutions for a Nonlinear Elliptic Equation with Hardy Potential and Critical Growth
cites work: Elliptic Equations with Multi-Singular Inverse-Square Potentials and Critical Nonlinearity
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: Q5409389
cites work: Description of the lack of compactness for the Sobolev imbedding
cites work: On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
cites work: Asymptotically linear fractional Schrödinger equations
cites work: Concentrating standing waves for the fractional Schrödinger equation with critical nonlinearities
cites work: Quasilinear asymptotically periodic elliptic equations with critical growth
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: The concentration-compactness principle in the calculus of variations. The limit case. II
cites work: On a class of semilinear elliptic problems in ℝN with critical growth
cites work: Characterization of traces of the weighted Sobolev space $W^{1,p}(\Omega,d_M^\epsilon)$ on $M$
cites work: Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
cites work: On a class of nonlinear Schrödinger equations
cites work: The Pohozaev identity for the fractional Laplacian
cites work: Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
cites work: Ground states for fractional Schrödinger equations with critical growth
cites work: On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: Existence and multiplicity of solutions of semilinear elliptic equations in \(\mathbb{R}^N\)
cites work: Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
cites work: A note on compactness-type properties with respect to Lorentz norms of bounded subsets of a Sobolev space
cites work: A global compactness result for elliptic boundary value problems involving limiting nonlinearities
cites work: Q2995197
cites work: On positive entire solutions to a class of equations with a singular coefficient and critical exponent
cites work: Positive solutions of elliptic equations with a critical oscillatory nonlinearity
cites work: Concentration compactness at the mountain pass level in semilinear elliptic problems
cites work: Q3419565
cites work: Sharp constants in the Hardy-Rellich inequalities
cites work: Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in ℝN
OpenAlex ID: W2883819831
description: scientific article; zbMATH DE number 7051674