Hölder regularity of quasiminimizers under generalized growth conditions



: Petteri Harjulehto, Peter Hästö, Olli Toivanen

Publisher: SPRINGER HEIDELBERG

: 2017

: Calculus of Variations and Partial Differential Equations

: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

: CALC VAR PARTIAL DIF

: ARTN 22

: 56

: 2

: 26

: 0944-2669

: 1432-0835

DOI: https://doi.org/10.1007/s00526-017-1114-z


We prove Harnack's inequality for local (quasi) minimizers in generalized Orlicz spaces without polynomial growth or coercivity conditions. As a consequence, we obtain the local Holder continuity of local (quasi) minimizers. The results include as special cases standard, variable exponent and double phase growth.



Last updated on 2024-26-11 at 20:05