The \(L^{p}\) Robin problem for Laplace equations in Lipschitz and (semi-)convex domains
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Publication:1680473
DOI10.1016/j.jde.2017.09.041zbMath1379.35070OpenAlexW2764004251WikidataQ125888453 ScholiaQ125888453MaRDI QIDQ1680473
Wen Yuan, Si Bei Yang, Da Chun Yang
Publication date: 16 November 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.09.041
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (6)
Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part ⋮ Regularity for Robin boundary problems of Laplace equations and Hardy spaces on \(C^1\) and (semi-)convex domains ⋮ The conormal and Robin boundary value problems in nonsmooth domains satisfying a measure condition ⋮ Weighted gradient estimates for elliptic problems with Neumann boundary conditions in Lipschitz and (semi-)convex domains ⋮ Weighted global regularity estimates for elliptic problems with Robin boundary conditions in Lipschitz domains ⋮ Weighted \(L^p\) boundary value problems for Laplace's equation on (semi-)convex domains
Cites Work
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- Multi-layer potentials and boundary problems for higher-order elliptic systems in Lipschitz domains
- The Neumann problem in \(L^p\) on Lipschitz and convex domains
- Boundary value problems for the Laplacian in convex and semiconvex domains
- The Neumann problem and Helmholtz decomposition in convex domains
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
- Weighted Hardy spaces
- Potential techniques for boundary value problems on \(C^1\)-domains
- A geometric approach to the Calderón-Zygmund estimates
- Elliptic partial differential equations of second order
- Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
- Coercive energy estimates for differential forms in semi-convex domains
- The \(L^p\) regularity problem for the Stokes system on Lipschitz domains
- Necessary and sufficient conditions for the solvability of the \(L^p\) Dirichlet problem on Lipschitz domains
- The \(L^{p}\) boundary value problems on Lipschitz domains
- The Neumann problem of Laplace's equation in semiconvex domains
- Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems
- On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- On the Poisson integral for Lipschitz and $C^{1}$-domains
- The Neumann problem on Lipschitz domains
- A uniqueness theorem for a Robin boundary value problem of physical geodesy
- Weighted estimates in 𝐿² for Laplace’s equation on Lipschitz domains
- Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors
- Classical Fourier Analysis
- Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces
- Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
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