Ground state solutions of fractional equations with Coulomb potential and critical exponent
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Publication:6590534
DOI10.1111/SAPM.12723zbMATH Open1545.35052MaRDI QIDQ6590534
Publication date: 21 August 2024
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Cites Work
- Sharp essential self-adjointness of relativistic Schrödinger operators with a singular potential
- Nonlinear fractional Schrödinger equations in one dimension
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
- Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential
- Stochastic dynamics of 2D fractional Ginzburg-Landau equation with multiplicative noise
- Nonlinear ground state representations and sharp Hardy inequalities
- On fractional Schrödinger equation in \(\alpha \)-dimensional fractional space
- Fractional quantum mechanics and Lévy path integrals
- A note on higher order fractional Hardy-Sobolev inequalities
- The existence of a nontrivial weak solution to a double critical problem involving a fractional Laplacian in \(\mathbb{R}^N\) with a Hardy term
- Uniqueness and nondegeneracy of positive solutions of \((-\Delta )^su+u= u^p\) in \(\mathbb R^N\) when s is close to 1
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Regularity and Bernstein-type results for nonlocal minimal surfaces
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- On the solutions of quasilinear elliptic partial differential equations.
- Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications
- Non-local Diffusions, Drifts and Games
- Weighted Morrey spaces and a singular integral operator
- Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations
- The Brezis-Nirenberg result for the fractional Laplacian
- Borderline Variational Problems Involving Fractional Laplacians and Critical Singularities
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