A priori bounds and existence result of positive solutions for fractional Laplacian systems
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Publication:1725809
DOI10.3934/dcds.2019065zbMath1415.35282OpenAlexW2903930147WikidataQ128738987 ScholiaQ128738987MaRDI QIDQ1725809
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.2019065
A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)
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A priori bounds and the existence of positive solutions for weighted fractional systems ⋮ Unnamed Item ⋮ Symmetric properties of positive solutions for fully nonlinear nonlocal system ⋮ Regularity and existence of positive solutions for a fractional system
Cites Work
- Unnamed Item
- A Liouville theorem for \(\alpha\)-harmonic functions in \(\mathbb{R}^n_+\)
- Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti-Rabinowitz condition
- Semilinear problems for the fractional Laplacian with a singular nonlinearity
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for a class of fractional Schrödinger equations in \(\mathbb{R}^N\)
- Infinitely many weak solutions for a fractional Schrödinger equation
- A critical fractional equation with concave-convex power nonlinearities
- Infinitely many positive and sign-changing solutions for nonlinear fractional scalar field equations
- A direct method of moving planes for the fractional Laplacian
- Regularity results for nonlocal equations by approximation
- Infinitely many non-radial solutions for the prescribed curvature problem of fractional operator
- Resonant problems for fractional Laplacian
- Mountain pass solutions for non-local elliptic operators
- A priori bounds and positive solutions for non-variational fractional elliptic systems.
- A radial symmetry and Liouville theorem for systems involving fractional Laplacian
- Symmetry of solutions for a fractional system
- A priori bounds and existence of solutions for some nonlocal elliptic problems
- Variational methods for non-local operators of elliptic type
- Infinitely many positive solutions of fractional nonlinear Schrödinger equations with non-symmetric potentials
- Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space
- On positive viscosity solutions of fractional Lane-Emden systems
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- A direct blowing-up and rescaling argument on nonlocal elliptic equations
- Bound state for the fractional Schrödinger equation with unbounded potential
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Lévy Processes and Stochastic Calculus
- Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian
- Financial Modelling with Jump Processes
- The Fractional Laplacian
- The Brezis-Nirenberg result for the fractional Laplacian
- Methods in Nonlinear Analysis
- C1, αInterior Regularity for Nonlinear Nonlocal Elliptic Equations with Rough Kernels
- On a class of non-local elliptic equations with asymptotically linear term
