Results 41 to 50 of about 6,453 (213)
Positiveness of nonnegative supersolutions of elliptic equations [PDF]
Proceedings of the American Mathematical Society, 1991 We prove the positiveness of the nonnegative supersolutions of equation (1), provided that the solutions are nontrivial whenever the structure condition (2) is fulfilled by A and B. Let G be a bounded domain in the n-dimensional Euclidean space E . Let p > 1, W (G), and W>(G) be the usual Sobolev spaces.
Xi Ting Liang, Ming Qi Yu
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Parabolic Minkowski convolutions of viscosity solutions to fully nonlinear equations [PDF]
, 2019 This paper is concerned with the Minkowski convolution of viscosity solutions of fully nonlinear parabolic equations. We adopt this convolution to compare viscosity solutions of initial-boundary value problems in different domains.
Ishige, Kazuhiro +2 more
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Optimal investment policy and dividend payment strategy in an insurance company [PDF]
, 2010 We consider in this paper the optimal dividend problem for an insurance company whose uncontrolled reserve process evolves as a classical Cram\'{e}r--Lundberg process. The firm has the option of investing part of the surplus in a Black--Scholes financial
Di Tella +3 more
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PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
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Combined effects in nonlinear singular elliptic problems in a bounded domain
Advances in Nonlinear Analysis, 2012 We establish an existence result of positive solutions to the following boundary value problem:
Chemmam Rym +3 more
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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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On the Finite Time Convergence of Cyclic Coordinate Descent Methods [PDF]
, 2010 Cyclic coordinate descent is a classic optimization method that has witnessed a resurgence of interest in machine learning. Reasons for this include its simplicity, speed and stability, as well as its competitive performance on $\ell_1$ regularized ...
Saha, Ankan, Tewari, Ambuj
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Известия Иркутского государственного университета: Серия "Математика", 2022 Existing maximum principles of Pontryagin’s type and related optimality conditions, such as, e.g., the ones derived by F. Clarke, B. Kaskosz and S. Lojasiewicz Jr., and H.J.
V.A. Dykhta
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Fractional Kirchhoff-Type and Method of Sub-supersolutions
Differential Equations and Dynamical Systems, 2023 In the present paper, we are interested in investigating the existence of positive solutions of a new class of fractional Kirchhoff via the sub and supersolutions technique. For this, we first need to investigate two results through lemmas.
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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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