Results 21 to 30 of about 564 (167)

Regularity theorems for a class of degenerate elliptic equations

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper we study the regularity of a class of degenerate elliptic equations with special lower order terms. By introducing a proper distance and applying the compactness method, we establish the Hölder type estimates for the weak solutions.
Qiaozhen Song, Yan Wang
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Gradient regularity for strongly singular or degenerate elliptic and parabolic equations

Bruno Pini Mathematical Analysis Seminar
We present recent advances in the regularity theory for weak solutions to some classes of elliptic and parabolic equations with strongly singular or degenerate structure.
Pasquale Ambrosio
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REITERATED HOMOGENIZATION OF DEGENERATE NONLINEAR ELLIPTIC EQUATIONS

Chinese Annals of Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Byström, Johan, Engström, Jonas, Wall, Peter   +2 more
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Degenerate Conformally Invariant Fully Nonlinear Elliptic Equations [PDF]

Archive for Rational Mechanics and Analysis, 2007
some improvements made and some typos ...
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Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations

Electronic Journal of Differential Equations, 2002
Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations.
Espen R. Jakobsen, Kenneth H. Karlsen
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Existence results for nonlinear degenerate elliptic equations with lower order terms

Advances in Nonlinear Analysis, 2020
In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [
Zou Weilin, Li Xinxin
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Quasilinear degenerate elliptic equation with absorption term

Nonlinear Analysis: Theory, Methods & Applications, 1999
The author studies the Dirichlet problem for \(p\)-harmonic operators \[ L_pu=-\text{div} (A(x)|\nabla u|^{p-2}\nabla u) \] with absorption term \[ L_pu+B(x)Q(u)= f(x)\quad \text{in } \Omega,\qquad u=0\quad \text{on } \partial\Omega. \] Here \(B(x)\) is a nonnegative function on \(\Omega\) and \(Q(t)\) is a continuous and strictly monotone increasing ...
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An approach for constructing coefficients of degenerate elliptic complex equations

Electronic Journal of Differential Equations, 2013
This article deals with the inverse problem for degenerate elliptic systems of first order equations with Riemann-Hilbert type map in simply connected domains.
Guo Chun Wen
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Second Order Elliptic Equations with Degenerate Weight [PDF]

Proceedings of the American Mathematical Society, 1989
We consider the eigenvalue problem: − Δ u − q u = λ ω u , u ∈ H ˙ 1 , 2 ( Ω ) - \Delta u - qu = \lambda \omega u ...
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A boundary value problem for the fourth-order degenerate equation of the mixed type

Қарағанды университетінің хабаршысы. Математика сериясы
Many problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
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