Harnack inequality for minimizers of integral functionals with general growth conditions
From MaRDI portal
Publication:1914381
DOI10.1007/BF01195916zbMath0855.49027MaRDI QIDQ1914381
Publication date: 9 June 1996
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (18)
\(L^\Phi\)-\(L^\infty\) inequalities and new remarks on the Hölder continuity of the quasi-minima of scalar integral functionals with general growths ⋮ Pointwise estimates of solutions to the double-phase elliptic equations ⋮ An Harnack inequality for the quasi-minima of scalar integral functionals with nearly linear growth conditions ⋮ Harnack inequality for quasilinear elliptic equations on Riemannian manifolds ⋮ Harnack inequality for nonlocal problems with non-standard growth ⋮ Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth ⋮ Parabolic Harnack estimates for anisotropic slow diffusion ⋮ \( {\mathfrak{B}}_1\) classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth ⋮ Calderón-Zygmund estimates and non-uniformly elliptic operators ⋮ Global gradient estimates for divergence-type elliptic problems involving general nonlinear operators ⋮ Regularity for local minima of a special class of vectorial problems with fully anisotropic growth ⋮ Hölder continuity for scalar minimizers of integrals of the calculus of variations with general growths ⋮ A Harnack inequality for the quasi-minima of scalar integral functionals with general growth conditions ⋮ Regularity of minima: an invitation to the dark side of the calculus of variations. ⋮ Regularity for double phase variational problems ⋮ Local boundedness of quasi-minimizers of fully anisotropic scalar variational problems ⋮ Local continuity and Harnack's inequality for double-phase parabolic equations ⋮ Local boundedness of minimizers of anisotropic functionals
Cites Work
- Unnamed Item
- Unnamed Item
- Regularity for elliptic equations with general growth conditions
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- On the regularity of the minima of variational integrals
- Hölder continuity of minimizers of functionals with non standard growth conditions
- Regularity results for quasiminima of functionals with non-polynomial growth
- \(W^{2,2}\) regularity for weak solutions of elliptic systems with nonstandard growth
- Local boundedness of minimizers of integrals of the calculus of variations
- 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)
- Some remarks on the regularity of minima of anisotropic integrals
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
This page was built for publication: Harnack inequality for minimizers of integral functionals with general growth conditions