Hölder regularity of quasiminimizers under generalized growth conditions

By Petteri Harjulehto, P. Hasto, Olli Toivanen. 2017

138 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/34a5149c1c6290a5cd7e00b03f47c7fddae1f53e

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

A variational approach to parabolic equations under general and p,q-growth conditions (2020, background): “For related recent references we quote [45] and Cupini–Giannetti–Giova– Passarelli [25], Carozza–Giannetti–Leonetti–Passarelli [18], Cupini–Marcellini–Mascolo [26,27], Harjulehto– Hästö–Toivanen [36], Hästö–”
Gossez's approximation theorems in Musielak–Orlicz–Sobolev spaces (2017, background): “See also how the problem of minimisation is examined in the Musielak-Orlicz setting under ∆2/∇2-conditions [22].”
Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space (2017, methodology): “Meanwhile in [27, 28], the proposed condition yields φ(x, b|ξ|) ≤ φ(y, |ξ|) when φ(y, |ξ|) ∈ [1, |x − y|−n], which does not imply (6) directly.”
Growth conditions and regularity for weak solutions to nonlinear elliptic pdes (2020, unknown): “For related recent references we also quote Duzgun-Marcellini-Vespri [39], [40], Rǎdulescu-Zhang [63], [64], Cencelja-Rădulescu-Repovš [19], Papageorgiou-Rădulescu-Repovš-Dušan [62], Ambrosio-Rădulescu [1], Ragusa-Tachikawa [65], Chlebicka [20], Chlebicka-DeFilippis [21], [22], CupiniGiannetti-Giova”
A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces (2018, background): “Let us refer to the approaches of [117, 120] and [150, 151], where the authors deal with the isotropic modular function of the form M(x, ξ) = |ξ|φ(x, |ξ|).”
On the Regularity of Minima of Non-autonomous Functionals (2019, unknown): “For this we refer to [36–39, 50].”
A borderline case of Calder\'on-Zygmund estimates for non-uniformly elliptic problems (2019, background): “Eventually, several contributions have been given in this direction, see for instance [12, 13, 14, 18, 19, 20, 24, 25, 29, 30, 31, 32] amongst the most closely related to the setting we are considering, that is the one of non-autonomous functionals with non-standard growth conditions.”
Regularity for general functionals with double phase (2017, background): “In particular, we point out the recent paper [31], where a general setting for conditions (1.”