On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth

DOI10.1007/s00205-017-1113-4zbMath1375.35164arXiv1601.01907OpenAlexW2226078141MaRDI QIDQ2014378

Miroslav Bulíček, Lisa Beck, Endre Süli, Josef Málek

Publication date: 11 August 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01907

zbMATH Keywords

Neumann boundary conditionnonlinear elliptic system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Boundary value problems for second-order elliptic systems (35J57)

Related Items (18)

Existence and Uniqueness of Global Weak Solutions to Strain-Limiting Viscoelasticity with Dirichlet Boundary Data ⋮ On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body ⋮ Regularity results for two standard models in elasto-perfect-plasticity theory with hardening ⋮ Unnamed Item ⋮ The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies ⋮ On evolutionary problems with a-priori bounded gradients ⋮ Generalized Multiscale Finite Element Treatment of a Heterogeneous Nonlinear Strain-limiting Elastic Model ⋮ Splitting type variational problems with linear growth conditions ⋮ Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid ⋮ Integrability of the derivative of solutions to a singular one-dimensional parabolic problem ⋮ Crack problem within the context of implicitly constituted quasi-linear viscoelasticity ⋮ A revision of results for standard models in elasto-perfect-plasticity theory ⋮ Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body ⋮ Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model ⋮ Finite element model for a coupled thermo-mechanical system in nonlinear strain-limiting thermoelastic body ⋮ Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity ⋮ Contacting crack faces within the context of bodies exhibiting limiting strains ⋮ On a Neumann problem for variational functionals of linear growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On local generalized minimizers and local stress tensors for variational problems with linear growth
• On elastic solids with limiting small strain: modelling and analysis
• Existence of solutions for the anti-plane stress for a new class of ``strain-limiting elastic bodies
• On the extremal stress and displacement in Hencky plasticity
• On implicit constitutive theories.
• Regularity for a class of nonlinear elliptic systems
• Systems of nonlinear wave equations with nonlinear viscosity
• The elasticity of elasticity
• Remarks relevant to minimal surfaces and to surfaces of prescribed mean curvature
• On the virtual convexity of the domain and range of a nonlinear maximal monotone operator
• Analysis and approximation of a strain-limiting nonlinear elastic model
• Finite Element Methods for Navier-Stokes Equations
• Remarks on Chacon's Biting Lemma
• On the response of non-dissipative solids
• Regularity for dual solutions and for weak cluster points of minimizing sequences of variational problems with linear growth

This page was built for publication: On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth