A compact embedding result for nonlocal Sobolev spaces and multiplicity of sign-changing solutions for nonlocal Schrödinger equations

Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Cites Work

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Hitchhiker's guide to the fractional Sobolev spaces
Infinitely many positive and sign-changing solutions for nonlinear fractional scalar field equations
Nonlinear scalar field equations. II: Existence of infinitely many solutions
Mountain pass solutions for non-local elliptic operators
Nonlinear scalar field equations. I: Existence of a ground state
Partial symmetry of least energy nodal solutions to some variational problems
Energy bounds for entire nodal solutions of autonomous superlinear equations
Critical point theory and Hamiltonian systems
On a class of nonlinear Schrödinger equations
Existence of solitary waves in higher dimensions
A sign-changing solution for a superlinear Dirichlet problem
On the existence of sign changing solutions for semilinear Dirichlet problems
Fractional quantum mechanics and Lévy path integrals
Infinitely many sign-changing solutions for a nonlocal problem
Minimax theorems
Variational methods for non-local operators of elliptic type
Sign changing solutions of nonlinear Schrödinger equations
Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
Sign-changing solutions for Schrödinger equations with vanishing and sign-changing potentials
Radial sign-changing solution for fractional Schrödinger equation
Sign Changing Solutions of Superlinear Schrödinger Equations
Variational Methods for Nonlocal Fractional Problems
Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
Existence and multiplicity results for some superlinear elliptic problems on R^N
On sign-changing solutions of certain semilinear elliptic problems
Nodal solutions of a p-Laplacian equation
The least energy sign-changing solution for a nonlocal problem
Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
Critical point theory on partially ordered Hilbert spaces
The random walk's guide to anomalous diffusion: A fractional dynamics approach

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