Existence of variational solutions to a Cauchy-Dirichlet problem with time-dependent boundary data on metric measure spaces
type: Item
instance of: scholarly article
title: Existence of variational solutions to a Cauchy-Dirichlet problem with time-dependent boundary data on metric measure spaces
zbMATH Open document ID: 1468.49001
author: Yanyan Li
published in: Collectanea Mathematica
publication date: 2021-08-04T00:00:00Z
Mathematics Subject Classification ID: 49J10
Mathematics Subject Classification ID: 46E40
zbMATH DE Number: 7378257
zbMATH Keywords: existence
zbMATH Keywords: variational solutions
zbMATH Keywords: metric measure spaces
zbMATH Keywords: minimizing movements
MaRDI profile type: Publication
full work available at URL: s13348-020-00288-0
OpenAlex ID: W3027717586
cites work: Q4944340
cites work: Q4537175
cites work: Nonlinear potential theory on metric spaces
cites work: The Dirichlet problem for p-harmonic functions on metric spaces
cites work: Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces
cites work: Parabolic systems with \({p,q}\)-growth: a variational approach
cites work: The obstacle problem for parabolic minimizers
cites work: The obstacle problem for the porous medium equation
cites work: Higher integrability in parabolic obstacle problems
cites work: Differentiability of Lipschitz functions on metric measure spaces
cites work: Interior behaviour of minimizers for certain functionals with nonstandard growth
cites work: Gradient regularity for minimizers under general growth conditions
cites work: Existence of parabolic minimizers on metric measure spaces
cites work: Direct methods in the calculus of variations
cites work: Q4284701
cites work: Q4148368
cites work: Regularity for minimizers of functionals with \(p-q\) growth
cites work: Definitions of Sobolev classes on metric spaces
cites work: Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces
cites work: Stability for parabolic quasi minimizers in metric measure spaces
cites work: Stability for parabolic quasiminimizers
cites work: Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions
cites work: Q3971722
cites work: Higher integrability for vector-valued parabolic quasi-minimizers on metric measure spaces
cites work: Sobolev spaces on an arbitrary metric space
cites work: Q4453425
cites work: Q4847438
cites work: Sobolev met Poincaré
cites work: Lectures on analysis on metric spaces
cites work: Quasiconformal maps in metric spaces with controlled geometry
cites work: Q4526387
cites work: Sobolev Spaces on Metric Measure Spaces
cites work: The Poincaré inequality is an open ended condition
cites work: Sobolev spaces with zero boundary values on metric spaces
cites work: Harnack's inequality for parabolic De Giorgi classes in metric spaces
cites work: Q4896353
cites work: Regularity of quasi-minimizers on metric spaces
cites work: Removable sets for the poincare inequality on metric spaces
cites work: Some function spaces on spaces of homogeneous type
cites work: Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality
cites work: On the existence of weak solutions for quasilinear parabolic initial-boundary value problems
cites work: Pseudo solutions of the time-dependent minimal surface problem
cites work: Stability of quasiminimizers of the p -Dirichlet integral with varying p on metric spaces
cites work: Q5687496
cites work: Nonlinear elliptic systems with general growth
cites work: On the Harnack inequality for parabolic minimizers in metric measure spaces
cites work: Local higher integrability for parabolic quasiminimizers in metric spaces
cites work: Hölder regularity for parabolic De Giorgi classes in metric measure spaces
cites work: Jensen's inequality for a convex vector-valued function on an infinite-dimensional space
cites work: Nichtlineare Funktionalanalysis
cites work: Q3993586
cites work: Aspects of Sobolev-type inequalities
cites work: Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
cites work: Harmonic functions on metric spaces
cites work: Regularity for a class of nonlinear elliptic systems
DOI: 10.1007/S13348-020-00288-0
description: scientific article; zbMATH DE number 7378257