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

  • Published:2021-01 Issue: Volume:270 Page:435-475
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Cavaterra Cecilia,Dipierro Serena,Farina Alberto,Gao Zu,Valdinoci Enrico

Funder

Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

INdAM

DECRA

Australian Research Council

Australian Laureate Fellowship

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference33 articles.

1. Regularity results for a class of functionals with non-standard growth;Acerbi;Arch. Ration. Mech. Anal.,2001

2. Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations;Andrews,2015

3. Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue;Andrews;Anal. PDE,2013

4. Gradient estimates via two-point functions for elliptic equations on manifolds;Andrews;Adv. Math.,2019

5. Gradient bounds and monotonicity of the energy for some nonlinear singular diffusion equations;Banerjee;Indiana Univ. Math. J.,2013

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