Fractional Schrödinger equations involving potential vanishing at infinity and supercritical exponents
From MaRDI portal
Publication:2194007
DOI10.1007/s00033-020-01354-0zbMath1445.35261OpenAlexW3041545278WikidataQ114231835 ScholiaQ114231835MaRDI QIDQ2194007
Jose Anderson Cardoso, Uberlandio B. Severo, D. S. dos Prazeres
Publication date: 25 August 2020
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-020-01354-0
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Related Items
Construct new type solutions for the fractional Schrödinger equation, Fractional weighted \(p\)-Kirchhoff equations with general nonlinearity, Nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical growth, On the fractional Schrödinger equations with critical nonlinearity, Existence of ground states of fractional Schrödinger equations, Unnamed Item, Normalized solutions of supercritical nonlinear fractional Schrödinger equation with potential, Existence of solutions for a class of fractional coupled Choquard-type systems with potential vanishing at infinity
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlocal diffusion and applications
- Existence of ground state solutions to Dirac equations with vanishing potentials at infinity
- Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials
- Hitchhiker's guide to the fractional Sobolev spaces
- The fractional Cheeger problem
- Critical fractional \(p\)-Laplacian problems with possibly vanishing potentials
- Stationary nonlinear Schrödinger equations in \(\mathbb {R}^2\) with potentials vanishing at infinity
- Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity
- Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
- Multiplicity and concentration results for a fractional Choquard equation via penalization method
- The evolution of dispersal
- Local mountain passes for semilinear elliptic problems in unbounded domains
- On the strong maximum principle for nonlocal operators
- Existence of positive solutions for a class of critical fractional Schrödinger equations with potential vanishing at infinity
- Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Critical and subcritical fractional problems with vanishing potentials
- Bound state for the fractional Schrödinger equation with unbounded potential
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Variational Methods for Nonlocal Fractional Problems
- Financial Modelling with Jump Processes
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Existence of nontrivial solutions for fractional Schrödinger equations with critical or supercritical growth
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Ground states for fractional Schrödinger equations with critical growth
- On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
- Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity