Results 11 to 20 of about 21,785,520 (294)
Weighted positivity of second order elliptic systems
Potential Analysis, 2007 Integral inequalities that concern the weighted positivity of a differential operator have important applications in qualitative theory of elliptic boundary value problems.
Luo, Gou,, Maz´ya, Vladimir G.,
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Higher-order finite-difference methods for partial differential equations [PDF]
, 1997 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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On the generalized spectrum for second-order elliptic systems [PDF]
Transactions of the American Mathematical Society, 1987 We consider the system of homogeneous Dirichlet boundary value problems ( ∗
Cantrell, Robert Stephen, Cosner, Chris
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Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]
, 2006 We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre +5 more
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Journal of Differential Equations, 2021 The notion of $p$-ellipticity has recently played a significant role in improving our understanding of issues of solvability of boundary value problems for scalar complex valued elliptic PDEs. In particular, the presence of $p$-ellipticity ensures higher regularity of solutions of such equations.
Martin Dindoš, Jungang Li, Jill Pipher
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NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS
Journal of Applied Analysis & Computation, 2022 Summary: In this paper we use the topological degree and the Krein-Rutman theorem to investigate the existence of nontrivial radial solutions for a system of second order elliptic equations. Our results are obtained under some conditions involving the eigenvalues of a relevant linear operator.
Zhang, Haiyan, Xu, Jiafa, O'Regan, Donal
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On energy functionals for second order elliptic systems with constant coefficients
Ufa Mathematical Journal, 2022 12 ...
Astamur Olegovich Bagapsh +1 more
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On the regularity up to the boundary for second order nonlinear elliptic systems [PDF]
Pacific Journal of Mathematics, 1982 In several earlier papers, the first two authors have shown that the question of interior regularity for solutions of boundary value problems for second-order nonlinear elliptic systems is equivalent (in some sense) to a certain Liouville property. The present paper demonstrates that a similar result is true for regularity up to the boundary of the ...
Giaquinta, M. +3 more
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Second Order Regularity for a Linear Elliptic System Having BMO Coefficients [PDF]
Milan Journal of Mathematics, 2021 AbstractWe consider linear elliptic systems whose prototype is$$\begin{aligned} div \, \Lambda \left[ \,\exp (-|x|) - \log |x|\,\right] I \, Du = div \, F + g \text { in}\, B. \end{aligned}$$divΛexp(-|x|)-log|x|IDu=divF+ginB.HereBdenotes the unit ball of$$\mathbb {R}^n$$Rn, for$$n > 2$$n>2, centered in the origin,Iis the identity matrix,Fis a ...
Moscariello G., Pascale G.
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