Schauder estimates and existence theory for entire solutions of linear elliptic equations

DOI10.1017/S0308210500024902zbMath0674.35019OpenAlexW2320621937MaRDI QIDQ3828379

Heinrich Begehr, Gerald N. Hile

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500024902

zbMATH Keywords

maximum principleharmonic polynomialentire solutionuniquebehavior at infinityHölder continuousuniformly ellipticSchauder-type a priori estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15)

Related Items (2)

The behavior of the heat operator on weighted Sobolev spaces ⋮ Unnamed Item

Cites Work

• On isolated singularities of solutions of second order elliptic differential equations
• Entire solutions of linear elliptic equations with Laplacian principal part
• Liouville theorems and gradient bounds for quasilinear elliptic systems
• Bounded entire solutions of elliptic equations
• On the inequality \(\Delta u\geq f(u, |grad u|)\)
• Entire Solutions of Nonlinear Poisson Equations

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