Results 1 to 10 of about 564 (167)
Estimates of singular numbers (s-numbers) for a class of degenerate elliptic operators [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper we study a class of degenerate elliptic equations with an arbitrary power degeneracy on the line. Based on the research carried out in the course of the work, the authors propose methods to overcome various difficulties associated with the
S.Zh. Igisinov +3 more
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Elliptic Equations with Degenerate Weights
SIAM Journal on Mathematical Analysis, 2022 We obtain new local Calderon-Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as non-linear equations. We introduce a novel log-BMO condition on the weight M. In particular, we assume smallness of the logarithm of the matrix-valued weight in BMO. This allows to include degenerate, discontinuous weights.
Khripunova Balci, Anna +3 more
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Dirichlet Problem for Degenerate Elliptic Equations [PDF]
Transactions of the American Mathematical Society, 1973 Let Lo be a degenerate second order elliptic operator with no zeroth order tern in an m-dimensional domain G, and let L = Lo + c.
Friedman, Avner, Pinsky, Mark A.
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Quasi-elliptic equations with degeneration
Журнал «Математические заметки СВФУ», 2021 Целью работы является исследование разрешимости естественных краевых задач для некоторых классов вырождающихся квазиэллиптических уравнений. Особенностями изучаемых задач является то, что, несмотря на вырождение, граничные многообразия в них не освобождаются от несения краевых условий.
Kozhanov, Aleksandr Ivanovich +1 more
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Unique continuation for degenerate quasilinear equations and sum operators
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We prove unique continuation property for positive solutions of some quasilinear degenerate elliptic equations.
Giuseppe Di Fazio +2 more
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Degenerate Differential Operators with Parameters
Abstract and Applied Analysis, 2007 The nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied. The principal parts of the appropriate generated differential operators are non-self-adjoint.
Veli B. Shakhmurov
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Risks, 2020 In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments.
Stefan Kremsner +2 more
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Some Zaremba-Hopf-Oleinik Boundary Comparison Principles at Characteristic Points
Bruno Pini Mathematical Analysis Seminar, 2015 We investigate the so-called Hopf lemma for certain degenerate-elliptic equations at characteristic boundary points of bounded open sets. For such equations, the validity of the Hopf lemma is related to the fact that the boundary of the open set reflects
Giulio Tralli
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Maximum principles for viscosity solutions of weakly elliptic equations
Bruno Pini Mathematical Analysis Seminar, 2019 Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
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Smoothness of certain degenerate elliptic equations [PDF]
Proceedings of the American Mathematical Society, 1980 Given p > 1 , p ≠ 2 p > 1,p \ne 2 , let u be a solution to div ( | grad u | P − 2
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