Results 61 to 70 of about 6,505 (230)
Abstract and Applied Analysis, 2010 We investigate the blowup properties of the positive solutions for a semilinear reaction-diffusion system with nonlinear nonlocal boundary condition.
Dengming Liu, Chunlai Mu
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Stochastic Target Games and Dynamic Programming via Regularized Viscosity Solutions
, 2015 We study a class of stochastic target games where one player tries to find a strategy such that the state process almost-surely reaches a given target, no matter which action is chosen by the opponent.
Bouchard, Bruno, Nutz, Marcel
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Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.Abstract This paper investigates boundary‐layer solutions of the singular Keller–Segel system (proposed in Keller and Segel [J. Theor. Biol. 30 (1971), 377–380]) in multi‐dimensional domains, which describes cells' chemotactic movement toward the concentration gradient of the nutrient they consume, subject to a zero‐flux boundary condition for the cell
Jose A. Carrillo +3 more
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Interior a priori estimates for supersolutions of fully nonlinear subelliptic equations under geometric conditions [PDF]
, 2023 Alessandro Goffi
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On uniqueness of solutions to complex Monge–Ampère mean field equations
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
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Pyramidal traveling fronts in the Belousov-Zhabotinskii reaction-diffusion systems in R^3
Electronic Journal of Differential Equations, 2020 In this article, we consider a diffusion system with the Belousov-Zhabotinskii (BZ for short) chemical reaction. The existence and stability of V-shaped traveling fronts for the BZ system in $\mathbb{R}^2$ had been proved in our previous papers [30,
Luyi Ma, Hong-Tao Niu, Zhi-Cheng Wang
doaj
Multiplicity for a strongly singular quasilinear problem via bifurcation theory
Bulletin of Mathematical Sciences, 2023 A [Formula: see text]-Laplacian elliptic problem in the presence of both strongly singular and [Formula: see text]-superlinear nonlinearities is considered.
Jacques Giacomoni +2 more
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Sublinear equations and Schur's test for integral operators
, 2017 We study weighted norm inequalities of $(p,r)$-type, $ \Vert \mathbf{G} (f \, d \sigma) \Vert_{L^r(\Omega, d\sigma)} \le C \Vert f \Vert_{L^p(\Omega, \sigma)}, \quad \forall \, f \in L^p(\sigma),$ for $0 1$, where $\mathbf{G}(f d \sigma)(x)=\int_\Omega G(
Verbitsky, Igor E.
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Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
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Maximum principles for boundary-degenerate second-order linear elliptic differential operators
, 2013 We prove weak and strong maximum principles, including a Hopf lemma, for smooth subsolutions to equations defined by linear, second-order, partial differential operators whose principal symbols vanish along a portion of the domain boundary.
Feehan, Paul M. N.
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