Uniform ellipticity and $p$-$q$ growth
Analysis of PDEs
2020-03-17 v1
Abstract
Fix any two numbers p and q, with 1<p<q; we give an example of an integral functional enjoying uniform ellipticity and p-q growth.
Cite
@article{arxiv.2003.06702,
title = {Uniform ellipticity and $p$-$q$ growth},
author = {Cristiana De Filippis and Francesco Leonetti},
journal= {arXiv preprint arXiv:2003.06702},
year = {2020}
}
Related papers
View all related →
Analysis of PDEs · Mathematics
Lipschitz bounds for nonuniformly elliptic integral functionals in the plane
Mathias Schäffner
2024-12-16
Complex Variables · Mathematics
(p,q)- th relative order and (p,q)- th relative type based some growth analysis of entire and meromorphic functions
Tanmay Biswas
2017-11-21
Analysis of PDEs · Mathematics
Existence and regularity results for weak solutions to $(p,q)$-elliptic systems in divergence form
Miroslav Bulíček, Giovanni Cupini, Bianca Stroffolini, Anna Verde
2017-11-08
Analysis of PDEs · Mathematics
Regularity for nonuniformly elliptic equations with $p,q-$growth and explicit $x,u-$dependence
Giovanni Cupini, Paolo Marcellini, Elvira Mascolo
2023-09-28
Analysis of PDEs · Mathematics
Lipschitz regularity for fully nonlinear elliptic equations with $(p,q)$-growth
Sun-Sig Byun, Hongsoo Kim
2026-05-18
Classical Analysis and ODEs · Mathematics
On a function involving generalized complete $(p,q)$- elliptic integrals
Barkat Ali Bhayo, Li Yin
2018-12-27
Analysis of PDEs · Mathematics
Equivalence between Superharmonic functions and renormalized solutions for the equations with $(p, q)$-growth
Ying Li, Chao Zhang
2025-04-17
Analysis of PDEs · Mathematics
Gradient $L^q$ theory for a class of non-diagonal nonlinear elliptic systems
Miroslav Bulíček, Martin Kalousek, Petr Kaplický, Václav Mácha
2018-03-06
Functional Analysis · Mathematics
Renormings of $L^p(L^q)$
R. Deville, R. Gonzalo, J. A. Jaramillo
2009-10-31
Analysis of PDEs · Mathematics
Local boundedness for solutions of a class of nonlinear elliptic systems
G. Cupini, F. Leonetti, E. Mascolo
2021-08-27
Analysis of PDEs · Mathematics
Singular elliptic problems with unbalanced growth and critical exponent
Deepak Kumar, V. D. Radulescu, K. Sreenadh
2020-06-24
Classical Analysis and ODEs · Mathematics
On the Asymptotic Expansion of the $q$-Dilogarithm
Fethi Bouzeffour
2016-09-30
Classical Analysis and ODEs · Mathematics
On Leighton's Comparison Theorem
Ahmed Ghatasheh, Rudi Weikard
2017-03-22
Analysis of PDEs · Mathematics
Regularity results for a class of non-autonomous obstacle problems with $(p,q)$-growth
Cristiana De Filippis
2019-07-09
Analysis of PDEs · Mathematics
On the regularity of minimizers for scalar integral functionals with $(p,q)$-growth
Peter Bella, Mathias Schäffner
2020-11-18
Classical Analysis and ODEs · Mathematics
On generalized complete $(p,q)$-elliptic integrals
Barkat Ali Bhayo, Nihat Gökhan Göğüş, Li Yin
2018-12-27
Analysis of PDEs · Mathematics
Multiplicity results for nonhomogeneous elliptic equations with singular nonlinearities
Rakesh Arora
2021-09-09
Analysis of PDEs · Mathematics
On Lipschitz regularity for bounded minimizers of functionals with (p,q) growth
Karthik Adimurthi, Vivek Tewary
2021-08-16
Functional Analysis · Mathematics
How many vectors are needed to compute (p,q)-summing norms?
M. Defant, Marius Junge
2016-09-06
Analysis of PDEs · Mathematics
Partial regularity for degenerate systems of double phase type
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
2024-10-21
Analysis of PDEs · Mathematics
Partial regularity result of elliptic systems with Dini continuous coefficients and $q$-growth
Taku Kanazawa
2013-07-09
Analysis of PDEs · Mathematics
Lipschitz bounds for integral functionals with $(p,q)$-growth conditions
Peter Bella, Mathias Schäffner
2022-03-01
Analysis of PDEs · Mathematics
On the equivalence of Lp-parabolicity and Lq-liouville property on weighted graphs
Lu Hao, Yuhua Sun
2025-11-26
Exactly Solvable and Integrable Systems · Physics
Planar elliptic growth
Dmitry Khavinson, Mark Mineev-Weinstein, Mihai Putinar
2009-01-21
Complex Variables · Mathematics
Measure of relative $(p,q)$-th order based on a growth of composite entire functions
S. Kanas, S. K. Datta, T. Biswas, G. K. Mondal
2016-07-08