Local boundedness of minimizers in a limit case
From MaRDI portal
Publication:756106
DOI10.1007/BF02567909zbMath0722.49012MaRDI QIDQ756106
Publication date: 1990
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155542
Variational inequalities (49J40) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (43)
Local boundedness of variational solutions to evolutionary problems with non-standard growth ⋮ \((p, q)\) systems with critical terms in \(\mathbb{R}^N\) ⋮ Hölder continuity of minimizers of functionals with variable growth exponent ⋮ Existence for singular critical exponential \((p,Q)\) equations in the Heisenberg group ⋮ Regularity results for non-autonomous functionals with \(L\log {L}\)-growth and Orlicz Sobolev coefficients ⋮ Local Hölder continuity of weak solutions for an anisotropic elliptic equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the local behavior of local weak solutions to some singular anisotropic elliptic equations ⋮ Obstacle problem of a nonlinear anisotropic parabolic equation ⋮ Regularity for minimizers of integrals with nonstandard growth ⋮ Local boundedness of minimizers of certain degenerate functionals of the calculus of variations ⋮ Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic \(p\)-Laplacian type equations ⋮ Higher integrability for anisotropic parabolic systems of \(p\)-Laplace type ⋮ Local boundedness of variational solutions to nonlocal double phase parabolic equations ⋮ Local boundedness of weak solutions to elliptic equations with \(p, q\)-growth ⋮ \( {\mathfrak{B}}_1\) classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth ⋮ Anisotropic elliptic problems with natural growth terms ⋮ Unnamed Item ⋮ Global integrability for minimizers of anisotropic functionals ⋮ Regularity for solutions to anisotropic obstacle problems ⋮ Local boundedness of solutions to quasilinear elliptic systems ⋮ Local boundedness of minimizers with limit growth conditions ⋮ Growth conditions and regularity, an optimal local boundedness result ⋮ On improved regularity of weak solutions of some degenerate, anisotropic elliptic systems ⋮ Higher integrability for minimizers of asymptotically convex integrals with discontinuous coefficients ⋮ Regularity of minimizers under limit growth conditions ⋮ Regularity of minima: an invitation to the dark side of the calculus of variations. ⋮ Lipschitz regularity for orthotropic functionals with nonstandard growth conditions ⋮ Differentiability for bounded minimizers of some anisotropic integrals ⋮ Extremal functions for an embedding from some anisotropic space, involving the ``one Laplacian ⋮ Regularity results for quasiminima of functionals with non-polynomial growth ⋮ Higher differentiability of minimizers of convex variational integrals ⋮ Local boundedness for vector valued minimizers of anisotropic functionals ⋮ On the Lipschitz regularity of minimizers of anisotropic functionals ⋮ Interior behaviour of minimizers for certain functionals with nonstandard growth ⋮ Vector valued minimizers of anisotropic functionals: fractional differentiability and estimate for the singular set ⋮ A priori estimates to the maximum modulus of generalized solutions of a class of quasilinear elliptic equations with anisotropic growth conditions ⋮ Hölder continuity of solutions to an anisotropic elliptic equation ⋮ Some remarks on the regularity of minima of anisotropic integrals ⋮ Local regularity for an anisotropic elliptic equation ⋮ Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations ⋮ Local behaviour of solutions of anisotropic elliptic equations
Cites Work
- Growth conditions and regularity. A counterexample
- On the regularity of the minima of variational integrals
- Teoremi di inclusione per spazi di Sobolev non isotropi
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Unnamed Item
- Unnamed Item
This page was built for publication: Local boundedness of minimizers in a limit case
