Results 51 to 60 of about 15,291 (210)
C1,γ regularity for singular or degenerate fully nonlinear equations and applications [PDF]
, 2019 In this note, we prove C1,γ regularity for solutions of some fully nonlinear degenerate elliptic equations with “superlinear” and “subquadratic” Hamiltonian terms. As an application, we complete the results of Birindelli et al.
Leoni F., Birindelli I., Demengel F.
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Nonlinear resonant problems with an indefinite potential and concave boundary condition
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We consider a nonlinear elliptic problem driven by the $p$-Laplacian plus and indefinite potential term. The reaction is $(p-1)$-linear and resonant and the boundary term is concave. The problem is nonparametric.
Nikolaos Papageorgiou, Andrea Scapellato
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Regularity for nonlinear stochastic games [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018 We establish regularity for functions satisfying a dynamic programming equation, which may arise for example from stochastic games or discretization schemes. Our results can also be utilized in obtaining regularity and existence results for the corresponding partial differential equations.
Parviainen, Mikko, Luiro, Hannes
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Regularity for Nonlinear Elliptic Equations
, 2021 We consider nonlinear, uniformly elliptic equations with random, highly oscillating coefficients satisfying a finite range of dependence. We prove that homogenization and linearization commute in the sense that the linearized equation (linearized around ...
Ferguson, Samuel J. +5 more
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The regularity properties and blow-up of the solutions for improved Boussinesq equations
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the Cauchy problem for linear and nonlinear Boussinesq type equations that include the general differential operators. First, by virtue of the Fourier multipliers, embedding theorems in Sobolev and Besov spaces, the existence ...
Veli Shakhmurov, Rishad Shahmurov
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Ellipticity and Regularity for Periodic Nonlinear Equations [PDF]
Proceedings of the American Mathematical Society, 1969 The composition of two strongly elliptic linear operators with suitably differentiable coefficients is also strongly elliptic. This fact has been used [3, pp. 178-181] to yield a particularly simple proof of the regularity of weak solutions of periodic strongly elliptic linear equations.
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Symmetry Regularization and Saturating Nonlinearity for Robust Quantization
, 2022 Robust quantization improves the tolerance of networks for various implementations, allowing reliable output in different bit-widths or fragmented low-precision arithmetic. In this work, we perform extensive analyses to identify the sources of quantization error and present three insights to robustify a network against quantization: reduction of error ...
Sein Park, Yeongsang Jang, Eunhyeok Park
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, 2014 In this paper, we dealt with the issue of the regularity of the linear extension of the dynamical system. Using the Lyapunov function with the changeable sign, conditions for the regularity of the entire examined dynamical system were given, assuming ...
Kulyk, Viktor, Paczko, Dariusz
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REGULARITY CODITIONS IN NONLINEAR PROGRAMMING PROBLEMS
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2019 Weak regularity conditions are studied. Necessary and sufficient conditions of R -regularity are obtained. The relations between different types of regularity conditions are investigated.
L. I. Minchenko, A. E. Leschov
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Recent Progresses in the Theory of Nonlinear Nonlocal Problems
Bruno Pini Mathematical Analysis Seminar, 2016 We overview some recent existence and regularity results in the theory of nonlocal nonlinear problems driven by the fractional p-Laplacian.
Sunra Mosconi, Marco Squassina
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