Sublinear Equations and Schur’s Test for Integral Operators

DOI10.1007/978-3-319-59078-3_22zbMath1417.35037arXiv1709.02856OpenAlexW2754241967MaRDI QIDQ4612141

Igor E. Verbitsky

Publication date: 22 January 2019

Published in: 50 Years with Hardy Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02856

zbMATH Keywords

Green's functionweak maximum principlefractional Laplaciansublinear elliptic equations

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Semilinear elliptic equations (35J61) Harmonic analysis and PDEs (42B37)

Related Items (8)

Solutions to sublinear elliptic equations with finite generalized energy ⋮ Solutions in Lebesgue spaces to nonlinear elliptic equations with subnatural growth terms ⋮ Minimal \(L^p\)-solutions to singular sublinear elliptic problems ⋮ Quasilinear elliptic equations with sub-natural growth terms in bounded domains ⋮ Quasilinear elliptic equations with sub-natural growth terms and nonlinear potential theory ⋮ The Dirichlet problem for sublinear elliptic equations with source ⋮ On two-weight norm inequalities for positive dyadic operators ⋮ Wolff's inequality for intrinsic nonlinear potentials and quasilinear elliptic equations

Cites Work

• Pointwise estimates of Brezis-Kamin type for solutions of sublinear elliptic equations
• Nonlinear elliptic equations and intrinsic potentials of Wolff type
• On the Picard principle for \(\Delta + \mu \)
• Lectures on potential theory. Notes by K. N. Gowrisankaran and M. K. Venkatesha Murthy
• Solutions to sublinear elliptic equations with finite generalized energy
• A sublinear version of Schur's lemma and elliptic PDE
• Finite energy solutions of quasilinear elliptic equations with sub-natural growth terms
• On the theory of potentials in locally compact spaces
• Global estimates for kernels of Neumann series and Green's functions
• ON $L^p$–$L^q$ TRACE INEQUALITIES
• Some results and examples about the behavior of harmonic functions and Green’s functions with respect to second order elliptic operators
• Positive Solutions to Schrödinger’s Equation and the Exponential Integrability of the Balayage
• On Integral Transformations With Positive Kernel
• Sobolev Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sublinear Equations and Schur’s Test for Integral Operators