Remarks on measure-valued Lagrangians on homogeneous spaces

zbMath0957.46027MaRDI QIDQ1809068

Yanyan Li

Publication date: 25 November 1999

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

spaces of homogeneous typeDirichlet formsSobolev inequalitiesRiesz potential estimatesvariational fractalsmeasure-valued Lagrangians

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dirichlet forms (31C25) Degenerate elliptic equations (35J70)

Related Items (10)

Harnack inequality for \(p\)-Laplacians associated to homogeneous \(p\)-Lagrangians ⋮ Unnamed Item ⋮ Harnack inequality for harmonic functions relative to a nonlinear \(p\)-homogeneous Riemannian Dirichlet form ⋮ Quasi-linear Venttsel' problems with nonlocal boundary conditions on fractal domains ⋮ Harnack inequality for the Schrödinger problem relative to strongly local Riemannian \(p\)-homogeneous forms with a potential in the Kato class ⋮ Harnack inequality for harmonic functions relative to a nonlinear \(p\)-homogeneous Riemannian Dirichlet form ⋮ Gauge Functions and Sobolev Inequalities on Fluctuating Domains ⋮ Harmonic calculus on fractals—A measure geometric approach II ⋮ Axiomatic regularity on metric spaces ⋮ Existence of weak solutions to a \(p\)-Laplacian system on the Sierpiński gasket on \({\mathbb{R}}^2\)

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