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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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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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An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group
Boundary Value Problems, 2021 The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group H n $H^{n}$ . We first derive a critical inequality in H n $H^{n}$ . Based on it, we establish a Picone-type differential
Duan Wu, Pengcheng Niu
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Exact meromorphic stationary solutions of the real cubic Swift-Hohenberg equation [PDF]
, 2012 We show that all meromorphic solutions of the stationary reduction of the real cubic Swift-Hohenberg equation are elliptic or degenerate elliptic. We then obtain them all explicitly by the subequation method, and one of them appears to be a new elliptic ...
Berg +28 more
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Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions
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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Известия Иркутского государственного университета: Серия "Математика", 2022 Dual techniques have been used in many engineering papers to deal with singularity and ill-conditioning of the boundary element method (BEM). In the first part of the two-part article, our efforts were focused on studying the theoretical aspects of this ...
Zi-Cai Li +4 more
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Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation [PDF]
, 2012 We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate ...
A.E. Eremenko +26 more
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A degenerating PDE system for phase transitions and damage [PDF]
, 2013 In this paper, we analyze a PDE system arising in the modeling of phase transition and damage phenomena in thermoviscoelastic materials. The resulting evolution equations in the unknowns \theta (absolute temperature), u (displacement), and \chi (phase ...
Rocca, Elisabetta, Rossi, Riccarda
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