On optimal estimates for some oblique derivative problems.

DOI10.1006/jfan.2001.3794zbMath1211.35058OpenAlexW2041173605MaRDI QIDQ5953426

Carlos E. Kenig, Nikolai S. Nadirashvili

Publication date: 24 March 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3794

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45)

Related Items (5)

The normal derivative lemma and surrounding issues ⋮ Oblique derivative problems for elliptic equations on conical domains ⋮ Div‐curl‐gradient inequalities and div‐curl system with oblique boundary condition ⋮ The A. D. Aleksandrov maximum principle ⋮ Local \(C^{0,\alpha }\) estimates for viscosity solutions of Neumann-type boundary value problems

Cites Work

• Positive solutions of elliptic equations in nondivergence form and their adjoints
• The \(L^ p\)-integrability of Green's functions and fundamental solutions for elliptic and parabolic equations
• Limitazioni per soluzioni di equazioni ellittiche
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Local Estimates for Subsolutions and Supersolutions of Oblique Derivative Problems for General Second Order Elliptic Equations
• A Nonvariational Second Order Elliptic Operator with Singular Elliptic Measure
• Weighted norm inequalities for maximal functions and singular integrals
• The equivalence of two conditions for weight functions
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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