Results 121 to 130 of about 1,472 (177)

Positive solutions to singular semilinear elliptic equations with critical potential on cone-like domains

open access: yes, 2005
We study the existence and nonexistence of positive (super-)solutions to a singular semilinear elliptic equation $$-\nabla\cdot(|x|^A\nabla u)-B|x|^{A-2}u=C|x|^{A-\sigma}u^p$$ in cone--like domains of $\R^N$ ($N\ge 2$), for the full range of parameters ...
Liskevich, Vitali   +2 more
core   +1 more source

Sums of three positive cubes

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We survey ideas surrounding the study of the number of integers that can be represented as the sum of three positive cubes. We focus on the early contribution of Davenport using elementary techniques, and the subsequent developments due to Vaughan, which introduced Fourier analysis and mirrored many of the important developments of the Hardy ...
James Maynard
wiley   +1 more source

Hardy inequalities on metric measure spaces. [PDF]

open access: yesProc Math Phys Eng Sci, 2019
Ruzhansky M, Verma D.
europepmc   +1 more source

Uncertainty relations on nilpotent Lie groups. [PDF]

open access: yesProc Math Phys Eng Sci, 2017
Ruzhansky M, Suragan D.
europepmc   +1 more source

On Hardy-Pachpatte-Copson's inequalities. [PDF]

open access: yesScientificWorldJournal, 2014
Zhao CJ, Cheung WS.
europepmc   +1 more source

All-versus-nothing proof of Einstein-Podolsky-Rosen steering. [PDF]

open access: yesSci Rep, 2013
Chen JL   +6 more
europepmc   +1 more source

Principle of maximum Fisher information from Hardy's axioms applied to statistical systems. [PDF]

open access: yesPhys Rev E Stat Nonlin Soft Matter Phys, 2013
Frieden BR, Gatenby RA.
europepmc   +1 more source

On the best possible remaining term in the Hardy inequality. [PDF]

open access: yesProc Natl Acad Sci U S A, 2008
Ghoussoub N, Moradifam A.
europepmc   +1 more source

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