Results 11 to 20 of about 447,343 (284)

Principal eigenvalue problem for infinity Laplacian in metric spaces

Advanced Nonlinear Studies, 2022
This article is concerned with the Dirichlet eigenvalue problem associated with the ∞\infty -Laplacian in metric spaces. We establish a direct partial differential equation approach to find the principal eigenvalue and eigenfunctions in a proper geodesic
Liu Qing, Mitsuishi Ayato
doaj   +1 more source

Exact non-equilibrium solutions of the Einstein-Boltzmann equations. II [PDF]

, 1996
We find exact solutions of the Einstein-Boltzmann equations with relaxational collision term in FRW and Bianchi I spacetimes. The kinematic and thermodynamic properties of the solutions are investigated.
Anderson J L, Caderni N, Calvao M O, Ellis G F R, Ellis G F R, Ellis G F R, Ellis G F R, Ellis G F R, F P Wolvaardt, Israel W, Maartens R, Matravers D R, Nesteruk A V, Penrose R, Penrose R, Roy Maartens, Udey N   +16 more
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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, Liu, Qing, Salani, Paolo   +2 more
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Factors influencing rheological properties of plugging agent particle solutions

Youqi dizhi yu caishoulu, 2023
The effect of the thermal composite fluid remaining in the reservoirs on the rheological properties of the plugging agent particle solution is still unclear at the late thermal composite development stage of the heavy oil reservoirs. Therefore， it limits
WANG Wuchao, LIU Huiqing, YANG Farong, DONG Xiaohu, CHEN Zhangxing, LI Yu   +5 more
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Unbounded Viscosity Solutions of Hybrid Control Systems [PDF]

, 2008
We study a hybrid control system in which both discrete and continuous controls are involved. The discrete controls act on the system at a given set interface.
Barles, Guy, Dharmatti, Sheetal, Ramaswamy, Mythily   +2 more
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Balanced-Viscosity solutions for multi-rate systems [PDF]

, 2014
Several mechanical systems are modeled by the static momentum balance for the displacement $u$ coupled with a rate-independent flow rule for some internal variable $z$. We consider a class of abstract systems of ODEs which have the same structure, albeit
Mielke, Alexander, Rossi, Riccarda, Savaré, Giuseppe   +2 more
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Viscosity solutions to degenerate Complex Monge-Amp\`ere equations [PDF]

, 2010
We develop an alternative approach to Degenerate complex Monge-Amp\`ere equations on compact K\"ahler manifolds based on the concept of viscosity solutions and compare systematically viscosity concepts with pluripotential theoretic ones. We generalize to
Alexandrov, Aubin, Azagra, Bedford, Bedford, Berman, Birkar, Boucksom, Błocki, Cegrell, Cegrell, Cegrell, Crandall, Demailly, Demailly, Dinew, Dinew, Eyssidieux, Eyssidieux, Gaveau, Guedj, Guedj, Hacon, Harvey, Hörmander, Ishii, Ishii, Jensen, Kołodziej, Lions, Mok, Tian, Wiklund, Yau, Zhang   +34 more
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Optimal Exploitation of a General Renewable Natural Resource under State and Delay Constraints

Mathematics, 2020
In this work, we study an optimization problem arising in the management of a natural resource over an infinite time horizon. The resource is assumed to evolve according to a logistic stochastic differential equation.
M’hamed Gaïgi, Idris Kharroubi, Thomas Lim   +2 more
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Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited [PDF]

, 2008
The aim of this work is to revisit viscosity solutions' theory for second-order elliptic integro-differential equations and to provide a general framework which takes into account solutions with arbitrary growth at infinity.
Alvarez, Arisawa, Arisawa, Barles, Bensaoud, Bertoin, Crandall, Cyril Imbert, Garroni, Guy Barles, Imbert, Ishii, Jakobsen, Jensen, Pham, Sayah, Silvestre, Soner, Woyczyński, Øksendal   +19 more
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The Gelfand problem for the 1-homogeneous p-Laplacian

Advances in Nonlinear Analysis, 2017
In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal ...
Carmona Tapia José, Molino Salas Alexis, Rossi Julio D.   +2 more
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