Existence and multiplicity results for Dirichlet problem with fractional Laplacian and nonlinearity
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Publication:2065131
DOI10.1007/s11784-021-00915-8OpenAlexW3217570302MaRDI QIDQ2065131
Publication date: 7 January 2022
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-021-00915-8
Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)
Cites Work
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- Fractional Laplacian: Pohozaev identity and nonexistence results
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for Dirichlet nonlinear BVPs involving fractional Laplacian
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
- Positive solutions for superlinear elliptic equations.
- Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation
- Nonlocal elliptic equations.
- Multiple solutions for equations involving bilinear, coercive and compact forms with applications to differential equations
- Gradient estimates of \(q\)-harmonic functions of fractional Schrödinger operator
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- On the number of solutions of nonlinear equations in ordered Banach spaces
- Positive solutions for sublinear elliptic equations
- From the long jump random walk to the fractional Laplacian
- Nonlinear Diffusion with Fractional Laplacian Operators
- Non-unicité des solutions d'une équation d'évolution non-linéaire
- Hammerstein equations with an integral over a noncompact domain
- Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
- Existence of multiple positive solutions of singular boundary value problems
- An Extension Problem Related to the Fractional Laplacian
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
- On the Distribution of First Hits for the Symmetric Stable Processes
- Existence theory for single and multiple solutions to singular positone boundary value problems