Results 1 to 10 of about 1,519 (300)
Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions [PDF]
Axioms, 2018 The Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic equation with mixed Dirichlet ...
Jean-Daniel Djida, Arran Fernandez
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Singularly Perturbed Elliptic Dirichlet Problem with a Multiple Root of the Degenerate Equation
Моделирование и анализ информационных систем, 2016 A singularly perturbed elliptic problem with Dirichlet boundary conditions is considered in the case of multiple roots of the degenerate equation. A complete asymptotic expansion of the solution is constructed and justified. It is qualitatively different
V. F. Butuzov, V. A. Beloshapko
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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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A note on a degenerate elliptic equation with applications for lakes and seas [PDF]
Electronic Journal of Differential Equations, 2004 In this paper, we give an intermediate regularity result on a degenerate elliptic equation with a weight blowing up on the boundary. This kind of equations is encountoured when modelling some phenomena linked to seas or lakes. We give some examples where
Didier Bresch +2 more
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Existence of bounded solutions of Neumann problem for a nonlinear degenerate elliptic equation
Electronic Journal of Differential Equations, 2017 We prove the existence of bounded solutions of Neumann problem for nonlinear degenerate elliptic equations of second order in divergence form. We also study some properties as the Phragmen-Lindelof property and the asymptotic behavior of the solutions
Salvatore Bonafede
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Stable Solutions of a Class of Degenerate Elliptic Equations
AxiomsThis paper deals with the second-order semi-linear degenerate elliptic equation yuyy+buy+Δxu+|u|α−1u=0,(x,y)∈Rn×(0,∞), where n≥1,α>1. We establish a Liouville theorem of stable solution of the degenerate equation mentioned above by using the energy method.
Yin Lang, Hairong Liu
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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.
Anna Kh. Balci +3 more
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Математичні Студії, 2021 We establish apriori estimate for the solutions of a degenerate non-divergence nonlinear elliptic equation. For this goal we study forcing the system by a drift.
S. Aliev +3 more
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W-Shaped Bright Soliton of the (2 + 1)-Dimension Nonlinear Electrical Transmission Line
Mathematics, 2023 In this paper, we investigate solitary wave solutions of the nonlinear electrical transmission line by using the Jacobi elliptic function and the auxiliary equation methods.
Mustafa Inc +2 more
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Properties of solutions to some weighted p-Laplacian equation [PDF]
Opuscula Mathematica, 2020 In this paper, we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by \[-\text{div}\big(w|\nabla u|^{p-2}\nabla u\big)=f(x,u),\quad w\in \mathcal{A}_p,\] on smooth domain and for varying nonlinearity
Prashanta Garain
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