Existence of solutions to the supercritical Hardy-Littlewood-Sobolev system with fractional Laplacians
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Publication:1725800
DOI10.3934/dcds.2019057zbMath1407.35202OpenAlexW2904242463MaRDI QIDQ1725800
Changfeng Gui, Ze Cheng, Yeyao Hu
Publication date: 15 February 2019
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2019057
Systems of nonlinear integral equations (45G15) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
Related Items (3)
Construct new type solutions for the fractional Schrödinger equation ⋮ Non-negative solutions to fractional Laplace equations with isolated singularity ⋮ Bound state solutions for the supercritical fractional Schrödinger equation
Cites Work
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- On the Hardy-Littlewood-Sobolev type systems
- Hitchhiker's guide to the fractional Sobolev spaces
- Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian
- A direct method of moving planes for the fractional Laplacian
- Monotonicity and symmetry of solutions to fractional Laplacian equation
- Hopf's lemma and constrained radial symmetry for the fractional Laplacian
- The Pohozaev identity for the fractional Laplacian
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
- Symmetry and related properties via the maximum principle
- Classification of solutions of some nonlinear elliptic equations
- Existence of positive solutions of a semilinear elliptic equation in \(\mathbb{R}_+^n\) with a nonlinear boundary condition
- Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
- Non-existence of positive solutions of Lane-Emden systems
- Variational methods for non-local operators of elliptic type
- A Brezis-Nirenberg result for non-local critical equations in low dimension
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Some global results for nonlinear eigenvalue problems
- A degree theory framework for semilinear elliptic systems
- Existence of positive solutions to semilinear elliptic systems with supercritical growth
- On the spectrum of two different fractional operators
- From the long jump random walk to the fractional Laplacian
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- On the stability and instability of positive steady states of a semilinear heat equation in ℝn
- The maximum principles for fractional Laplacian equations and their applications
- An Extension Problem Related to the Fractional Laplacian
- Classification of solutions for an integral equation
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