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Article Dans Une Revue Journal of Differential Equations Année : 2021

Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities

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1
Cecilia Cavaterra
  • Fonction : Auteur
Serena Dipierro
  • Fonction : Auteur
Zu Gao
  • Fonction : Auteur
Enrico Valdinoci
  • Fonction : Auteur

Résumé

We give pointwise gradient bounds for solutions of (possibly non-uniformly) elliptic partial differential equations in the entire Euclidean space. The operator taken into account is very general and comprises also the singular and degenerate nonlinear case with non-standard growth conditions. The sourcing term is also allowed to have a very general form, depending on the space variables, on the solution itself, on its gradient, and possibly on higher order derivatives if additional structural conditions are satisfied. (C) 2020 Elsevier Inc. All rights reserved.

Dates et versions

hal-03621401 , version 1 (28-03-2022)

Identifiants

Citer

Cecilia Cavaterra, Serena Dipierro, Alberto Farina, Zu Gao, Enrico Valdinoci. Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities. Journal of Differential Equations, 2021, 270, pp.435-475. ⟨10.1016/j.jde.2020.08.007⟩. ⟨hal-03621401⟩
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