The critical fractional Schrödinger equation with a small superlinear term
From MaRDI portal
Publication:1729155
DOI10.1016/j.nonrwa.2018.07.003zbMath1409.35231OpenAlexW2883071686MaRDI QIDQ1729155
Jichao Wang, Yanju Ji, Jian Zhang
Publication date: 27 February 2019
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.07.003
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11)
Related Items (3)
Two nontrivial solutions for a nonhomogeneous fractional Schrödinger-Poisson equation in \(\mathbb{R}^3\) ⋮ Existence results for a fractional Schrödinger–Poisson equation with concave–convex nonlinearity in ℝ3 ⋮ Multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions
Cites Work
- Unnamed Item
- Nonlocal diffusion and applications
- Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
- Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
- On fractional Schrödinger equations in \({\mathbb R}^N\) without the Ambrosetti-Rabinowitz condition
- The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
- Ground state solutions of scalar field fractional Schrödinger equations
- Critical point theory and Hamiltonian systems
- Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
- Fractional quantum mechanics and Lévy path integrals
- Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
- The existence of nontrivial solutions for the critical Kirchhoff type problem in \(\mathbb R^N\)
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Minimax theorems
- Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
- A critical nonlinear fractional elliptic equation with saddle-like potential in ℝN
- Bound state for the fractional Schrödinger equation with unbounded potential
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- A Variation of the Mountain Pass Lemma and Applications
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Ground states and concentration phenomena for the fractional Schrödinger equation
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Ground state solutions of asymptotically linear fractional Schrödinger equations
- On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
- An Extension Problem Related to the Fractional Laplacian
- The Brezis-Nirenberg result for the fractional Laplacian
This page was built for publication: The critical fractional Schrödinger equation with a small superlinear term
