Even non-increasing solution for a Schrödinger type problem with Liouville-Weyl fractional derivative
DOI10.1007/s40314-022-02124-6OpenAlexW4309674148MaRDI QIDQ2678827
Jesús A. Rodríguez, Hernán C. Gutierrez, Ziheng Zhang, César E. Torres Ledesma
Publication date: 25 January 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-022-02124-6
fractional Sobolev spacerearrangement of functionsnormalized solutionLiouville-Weyl fractional derivatives
Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Methods involving semicontinuity and convergence; relaxation (49J45) Asymptotic expansions of solutions to PDEs (35C20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary value problem with fractional \(p\)-Laplacian operator
- What is a fractional derivative?
- Fractional integration and differentiation of variable order: an overview
- Approximation of fractional integrals by means of derivatives
- On the Fourier transform of the symmetric decreasing rearrangements
- Nonlinear scalar field equations. I: Existence of a ground state
- Symétrie et compacité dans les espaces de Sobolev
- Existence of solitary waves in higher dimensions
- Impulsive fractional boundary value problem with \(p\)-Laplace operator
- Minimax theorems
- Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches
- A Caputo fractional derivative of a function with respect to another function
- On fractional calculus with general analytic kernels
- Nehari manifold for weighted singular fractional \(p\)-Laplace equations
- On existence of multiple normalized solutions to a class of elliptic problems in whole \(\mathbb{R}^N\)
- Existence and symmetric result for Liouville-Weyl fractional nonlinear Schrödinger equation
- Existence of a solution for the fractional forced pendulum
- Fractional Sobolev space with Riemann-Liouville fractional derivative and application to a fractional concave-convex problem
- Some generalized fractional calculus operators and their applications in integral equations
- Ground state solution for differential equations with left and right fractional derivatives
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
- Existence of solutions with prescribed norm for semilinear elliptic equations
- EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
- Fractional Calculus with Applications in Mechanics
- The Nehari manifold for aψ-Hilfer fractionalp-Laplacian
- Fractional integration by parts and Sobolev‐type inequalities for ψ$$ \psi $$‐fractional operators
- On tempered fractional calculus with respect to functions and the associated fractional differential equations
This page was built for publication: Even non-increasing solution for a Schrödinger type problem with Liouville-Weyl fractional derivative
