Semiclassical states for fractional Schrödinger equations with critical growth
From MaRDI portal
Publication:504368
DOI10.1016/j.na.2016.12.004zbMath1359.35214OpenAlexW2560918877MaRDI QIDQ504368
Publication date: 16 January 2017
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2016.12.004
Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Related Items
Construct new type solutions for the fractional Schrödinger equation, Infinitely many positive multi-bump solutions for fractional Kirchhoff equations, Concentration phenomenon of solutions for a class of Kirchhoff-type equations with critical growth, Bound state solutions for the supercritical fractional Schrödinger equation, Fast and slow decay solutions for supercritical fractional elliptic problems in exterior domains, Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth, Existence of positive solutions for fractional Kirchhoff equation
Cites Work
- Concentration phenomenon for fractional nonlinear Schrödinger equations
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- The Pohozaev identity for the fractional Laplacian
- Mountain pass solutions for non-local elliptic operators
- Least energy solutions for a weakly coupled fractional Schrödinger system
- Concentrating standing waves for the fractional Schrödinger equation with critical nonlinearities
- Remarks on the Schrödinger operator with singular complex potentials
- Semi-classical states for nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities
- Variational methods for non-local operators of elliptic type
- Uniqueness and nondegeneracy of positive solutions of \((-\Delta )^su+u= u^p\) in \(\mathbb R^N\) when s is close to 1
- Dual variational methods in critical point theory and applications
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
- Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian
- Uniqueness of Radial Solutions for the Fractional Laplacian
- A concave—convex elliptic problem involving the fractional Laplacian
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Concentration on curves for nonlinear Schrödinger Equations
- The local regularity of solutions of degenerate elliptic equations
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- An Extension Problem Related to the Fractional Laplacian
