Results 41 to 50 of about 564 (167)

Nonlinear degenerate elliptic equations in weighted Sobolev spaces

Electronic Journal of Differential Equations, 2020
We study the existence of solutions for the nonlinear degenerated elliptic problem $$\displaylines{ -\operatorname{div} a(x,u,\nabla u)=f \quad\text{in } \Omega,\cr u=0 \quad\text{on }\partial\Omega, }$$ where $\Omega$ is a bounded open set in ...
Aharrouch Benali, Bennouna Jaouad
doaj  

Degenerate elliptic equations [PDF]

Pacific Journal of Mathematics, 1964
Redheffer, R. M., Straus, E. G.
openaire   +2 more sources

A double inverse problem for Fredholm integro-differential equation of elliptic type

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
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Initial-value problems for linear distributed-order differential equations in Banach spaces

Electronic Journal of Differential Equations, 2018
We solve the Cauchy problem for inhomogeneous distributed-order equations in a Banach space with a linear bounded operator in the right-hand side, with respect to the distributed Caputo derivative.
Vladimir E. Fedorov, Elizaveta M. Streletskaya   +1 more
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On the existence of weak optimal BV-controls in coefficients for linear elliptic problems

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009
In this paper we study the optimal control problem associated to a linear degenerate elliptic equation with mixed boundary conditions. We adopt a weight coefficient in the main part of elliptic operator as control in BV(Ω).
I. G. Balanenko, P. I. Kogut
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Compactness Methods for Certain Degenerate Elliptic Equations

Journal of Differential Equations, 1994
The \(C^{1,\alpha}\) regularity of \(p\)-harmonic functions is proved using compactness methods. The function \(u \in C^{1,a}(\Omega)\) is called \(p\)-harmonic function, if it minimizes the functional \(\int_{\Omega}| \nabla v|^ p dx\), where \(\Omega\) is a bounded, smooth, open subset of \(\mathbb{R}^ n\).
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UNIFORM BMO ESTIMATE OF PARABOLIC EQUATIONS AND GLOBAL WELL-POSEDNESS OF THE THERMISTOR PROBLEM

Forum of Mathematics, Sigma, 2015
We prove global well-posedness of the time-dependent degenerate thermistor problem by establishing a uniform-in-time bounded mean ocsillation (BMO) estimate of inhomogeneous parabolic equations.
BUYANG LI, CHAOXIA YANG
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Existence of solutions for quasilinear degenerate elliptic equations

Electronic Journal of Differential Equations, 2001
In this paper, we study the existence of solutions for quasilinear degenerate elliptic equations of the form $A(u)+g(x,u,abla u)=h$, where $A$ is a Leray-Lions operator from $W_0^{1,p}(Omega,w)$ to its dual.
Y. Akdim, E. Azroul, A. Benkirane
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Quasiconformal mappings and degenerate elliptic and parabolic equations

Le Matematiche, 1987
In this paper two Harnak inequalities are proved concerning a degenerate elliptic and a degenerate parabolic equation. In both cases the weight giving the degeneracy is a power of the jacobian of a quasiconformal mapping.
Filippo Chiarenza, Michelangelo Franciosi   +1 more
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Existence of multiple weak solutions to a weighted quasilinear elliptic equation

Results in Applied Mathematics
In this study, we explore the existence of solutions to certain quasilinear degenerate elliptic equations that involve Hardy singular coefficients. Using variational techniques and critical point theorems, we establish new criteria for the existence of ...
Khaled Kefi
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