A priori gradient bounds and local \(C^{1,\alpha}\)-estimates for (double) obstacle problems under non-standard growth conditions
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Publication:1598246
DOI10.4171/ZAA/1054zbMath1011.49024OpenAlexW2007681780MaRDI QIDQ1598246
Michael Bildhauer, Giuseppe Mingione, Fuchs, Martin
Publication date: 21 May 2003
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/zaa/1054
Related Items
Calderón-Zygmund type estimates for a class of obstacle problems with \(p(x)\) growth, Regularity results for solutions to a class of obstacle problems, Lipschitz continuity results for a class of obstacle problems, On the local everywhere Hölder continuity for weak solutions of a class of not convex vectorial problems of the calculus of variations, Regularity results for bounded solutions to obstacle problems with non-standard growth conditions, Everywhere Hölder continuity of vectorial local minimizers of special classes of integral functionals with rank one integrands, Not uniformly continuous densities and the local everywhere Hölder continuity of weak solutions of vectorial problems, Lipschitz regularity for constrained local minimizers of convex variational integrals with a wide range of anisotropy, Calderón-Zygmund estimates for quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth, Sobolev regularity for convex functionals on BD, Gradient continuity for nonlinear obstacle problems, Interior gradient bounds for local minimizers of variational integrals under nonstandard growth conditions, Variational integrals with a wide range of anisotropy, Higher differentiability for solutions to a class of obstacle problems, Regularity results for a class of non-differentiable obstacle problems, Weighted distribution approach to gradient estimates for quasilinear elliptic double-obstacle problems in Orlicz spaces, Unnamed Item, Regularity results for solutions to obstacle problems with Sobolev coefficients, Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth, \(C^{1,\alpha}\)-solutions to non-autonomous anisotropic variational problems
Cites Work
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- Regularity for elliptic equations with general growth conditions
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Regularity for certain degenerate elliptic double obstacle problems
- Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
- Partial regularity under anisotropic \((p,q)\) growth conditions
- A regularity theory for variational integrals with \(L\ln L\)-growth
- Variational integrals on Orlicz-Sobolev spaces
- Full \(C^{1,\alpha}\)-regularity for free and constrained local minimizers of elliptic variational integrals with nearly linear growth
- Variational methods for problems from plasticity theory and for generalized Newtonian fluids
- Full \(C^{1,\alpha}\)-regularity for minimizers of integral functionals with \(L\log L\)-growth
- Partial regularity for minimizers of convex integrals with \(L\log L\)-growth
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Regularity results for minimizers of irregular integrals with (p,q) growth
- Obstacle Problems with Linear Growth: Hölder Regularity for the Dual Solution
- Hölder continuity of the gradient for degenerate variational inequalities
- Interior regularity for solutions to obstacle problems
- On the Obstacle Problem for Quasilinear Elliptic Equations of p Laplacian Type
- Smooth regularity of solutions of double obstacle problems involving degenerate elliptic equations
- Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening
- Variational inequalities for energy functionals with nonstandard growth conditions
