An Elliptic Boundary Value Problem with Fractional Nonlinearity
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Publication:5003320
DOI10.1137/20M1342641zbMath1479.35443arXiv2005.09515MaRDI QIDQ5003320
Matteo Cozzi, Nicola Abatangelo
Publication date: 21 July 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.09515
Nonlinear elliptic equations (35J60) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian
- Hitchhiker's guide to the fractional Sobolev spaces
- On the inequality \(\Delta u \geqq f (u)\)
- Large solutions to elliptic equations involving fractional Laplacian
- Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
- Elliptic partial differential equations of second order
- Very large solutions for the fractional Laplacian: towards a fractional Keller-Osserman condition
- Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions
- Sharp Green function estimates for \(\Delta + \delta ^{\alpha /2}\) in \(C^{1,1}\) open sets and their applications
- Getting acquainted with the fractional Laplacian
- Fractional calculus for power functions and eigenvalues of the fractional Laplacian
- Über semilineare elliptische Differentialgleichungen zweiter Ordnung
- Boundary Harnack principle for $Δ+ Δ^{𝛼/2}$
- On solutions of δu=f(u)
- First Passage Times for Symmetric Stable Processes in Space
- Financial Modelling with Jump Processes
- Dirichlet problem for stochasticparabolic equations in smoothdomains
- The Dirichlet problem for nonlocal elliptic operators with $C^{0,\alpha }$ exterior data
- On the Dirichlet problem for second-order elliptic integro-differential equations
- The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
- Sobolev Spaces
- Analytic semigroups and optimal regularity in parabolic problems
- Applied stochastic control of jump diffusions
- Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations
- Optimal portfolio management rules in a non-Gaussian market with durability and intertemporal substitution
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