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Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane   +3 more
wiley   +1 more source

Asymptotic Properties for a General Class of Szász–Mirakjan–Durrmeyer Operators

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 734-743, 30 January 2026.
ABSTRACT In this paper, we introduce a general family of Szász–Mirakjan–Durrmeyer type operators depending on an integer parameter j∈ℤ$$ j\in \mathbb{Z} $$. They can be viewed as a generalization of the Szász–Mirakjan–Durrmeyer operators, Phillips operators, and corresponding Kantorovich modifications of higher order.
Ulrich Abel   +3 more
wiley   +1 more source

Explicit minimisers for anisotropic Riesz energies. [PDF]

open access: yesCalc Var Partial Differ Equ
Frank RL   +5 more
europepmc   +1 more source

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