Results 31 to 40 of about 564 (167)

Some auxiliary estimates for solutions to non-uniformly degenerate second-order elliptic equations

Вестник Самарского университета: Естественнонаучная серия
We consider a class of second order elliptic equations in divergence form with non-uniform exponential degeneracy. The method used is based on the fact that the degeneracy rates of the eigenvalues of the matrix ||aij(x)||(function λi(x)) are not the ...
Sarvan T. Huseynov, Mushfig J. Aliyev
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On Removable Sets for Degenerated Elliptic Equations

Ukrainian Mathematical Journal, 2013
Under consideration is the Dirichlet problem for an elliptic equation \[ -\sum_{i,j=1}^{n}\partial_{x_{j}} a_{ij}(x)\partial_{x_{i}} u =f, \;\;x\in G\subset {\mathbb R}^{n}. \eqno{(1)} \] The corresponding quadratic form is degenerate in the sense that there exists a positive constant \(\gamma>0\) such that \[ \gamma\sum_{i=1}|\xi_{i}|^{2}\lambda_{i}(x)
Gadjiev, T.S., Bayramova, N.Q.
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𝐿∞-Solutions for Some Nonlinear Degenerate Elliptic Equations

International Journal of Differential Equations, 2011
We are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations −∑𝑛𝑗=1𝐷𝑗[𝜔2(𝑥)𝒜𝑗(𝑥,𝑢,∇𝑢)]+𝜔1(𝑥)𝑔(𝑥,𝑢(𝑥))+𝐻(𝑥,𝑢,∇𝑢)𝜔2(𝑥)=𝑓(𝑥),onΩ in the setting of the weighted Sobolev spaces W01,𝑝(Ω,𝜔1,𝜔2)
Albo Carlos Cavalheiro
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Multiplicity of weak solutions to degenerate weighted quasilinear elliptic equations with nonlocal terms and variable exponents

Electronic Journal of Qualitative Theory of Differential Equations
This paper studies the existence and multiplicity of weak solutions to degenerate weighted quasilinear elliptic equations with nonlocal nonlinearities and variable exponents.
Khaled Kefi
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Oblique derivative problems for generalized Rassias equations of mixed type with several characteristic boundaries

Electronic Journal of Differential Equations, 2009
This article concerns the oblique derivative problems for second-order quasilinear degenerate equations of mixed type with several characteristic boundaries, which include the Tricomi problem as a special case.
Guo Chun Wen
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Sturm theorems for degenerate elliptic equations [PDF]

Proceedings of the American Mathematical Society, 2001
A kind of the Picone identity for a class of degenerate \(p\)-Laplacians are shown. As a consequence, a Sturm comparison theorem about the change sign of generalized solutions is proved. It is the answer to the open question mentioned in \textit{D. R. Dunninger} [Boll. Unione Mat. Ital., VII. Ser., A 9, No. 1, 117-121 (1995; Zbl 0834.35011)]. The paper
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Existence of solutions for some degenerate quasilinear elliptic equations

Le Matematiche, 2008
In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations 
Albo Carlos Cavalheiro
doaj  

Weak Solutions to Leray–Lions-Type Degenerate Quasilinear Elliptic Equations with Nonlocal Effects, Double Hardy Terms, and Variable Exponents

Mathematics
This study investigates the existence and multiplicity of weak solutions for a class of degenerate weighted quasilinear elliptic equations that incorporate nonlocal nonlinearities, a double Hardy term, and variable exponents.
Khaled Kefi, Mohammed M. Al-Shomrani
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Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients

Electronic Journal of Differential Equations, 2005
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.
Hongjie Dong, Nicolai V. Krylov
doaj  

On degenerate elliptic equations in Morrey spaces

Le Matematiche, 2006
Regularity of generalized solutions to degenerate elliptic PDE’s has received a very strong impulse in the direction of finding the minimal assumptions under which regularity results hold true.
Francesco Borrello
doaj