A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer
From MaRDI portal
Publication:1990939
DOI10.1007/s00526-018-1422-yzbMath1404.46032OpenAlexW2897482222WikidataQ129056117 ScholiaQ129056117MaRDI QIDQ1990939
Publication date: 26 October 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-018-1422-y
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Regularity of solutions in optimal control (49N60)
Related Items
Partial regularity of minimizers of asymptotically convex functionals with ${p(x)}$-growth ⋮ Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems ⋮ Partial regularity of minimizers of asymptotically convex functionals with Morrey coefficients ⋮ Partial regularity of solutions to \(p(x)\)-Laplacian PDEs with discontinuous coefficients ⋮ Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds
- Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\)
- Higher integrability for minimizers of asymptotically convex integrals with discontinuous coefficients
- Partial Hölder continuity of minimizers of functionals satisfying a VMO condition
- A general regularity theorem for functionals with \(\varphi \)-growth
- Partial regularity for minimizers of discontinuous quasi-convex integrals with degeneracy
- On nonlinear boundary conditions satisfying certain asymptotic behavior
- Boundary regularity in variational problems
- RETRACTED: ``A \(C^{1,\alpha}\) partial regularity result for non-autonomous convex integrals with discontinuous coefficients
- Boundary regularity and the Dirichlet problem for harmonic maps
- Everywhere regularity of functionals with \(\varphi \)-growth
- Asymptotically regular problems I: Higher integrability
- The singular set of Lipschitzian minima of multiple integrals
- Regularity results for non-autonomous variational integrals with discontinuous coefficients
- Global regularity for almost minimizers of nonconvex variational problems
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- \(C^{0,\gamma }\)-regularity for vector-valued minimizers of quasilinear functionals
- Morrey regularity results for asymptotically convex variational problems with \((p,q)\) growth
- Global Lipschitz regularity for almost minimizers of asymptotically convex variational problems
- Differentiability of minima of non-differentiable functionals
- Partial regularity of minimizers of quasiconvex integrals
- Remarks on the regularity of the minimizers of certain degenerate functionals
- On the regularity of the minima of variational integrals
- Regularity for a class of nonlinear elliptic systems
- Almost-everywhere regularity results for solutions of nonlinear elliptic systems
- The singular set of solutions to non-differentiable elliptic systems
- Partial regularity results for non-autonomous functionals with \(\varPhi \)-growth conditions
- Partial regularity for minimizers of a class of non autonomous functionals with nonstandard growth
- Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions
- On the singular set of minimizers of \(p(x)\)-energies
- Singularities of minima: a walk on the wild side of the calculus of variations
- Hölder continuity of solutions of elliptic systems
- On continuity of minimizers for certain quadratic growth functionals
- On interior regularity of minimizers of \(p(x)\)-energy functionals
- Partial regularity of 𝑝(𝑥)-harmonic maps
- Morrey regularity for almost minimizers of asymptotically convex functionals with nonstandard growth
- Stationary electro-rheological fluids: Low order regularity for systems with discontinuous coefficients
- Lipschitz regularity for some asymptotically convex problems
- Partial Hölder continuity for discontinuous elliptic problems with VMO-coefficients
- BOUNDARY REGULARITY RESULTS FOR VARIATIONAL INTEGRALS
- Global Morrey regularity results for asymptotically convex variational problems
- Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations
- Partial Regularity for Minimizers of Quasi-convex Functionals with General Growth
- Lipschitz regularity of solutions of some asymptotically convex problems
- Higher differentiability of minimizers of variational integrals with Sobolev coefficients
- PARTIAL REGULARITY OF THE MINIMIZERS OF QUADRATIC FUNCTIONALS WITH VMO COEFFICIENTS
