Results 11 to 20 of about 47,836 (284)
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.
Khripunova Balci, Anna +3 more
openaire +6 more sources
Dirichlet Problem for Degenerate Elliptic Equations [PDF]
Transactions of the American Mathematical Society, 1973 Let Lo be a degenerate second order elliptic operator with no zeroth order tern in an m-dimensional domain G, and let L = Lo + c.
Friedman, Avner, Pinsky, Mark A.
openaire +2 more sources
Quasi-elliptic equations with degeneration
Журнал «Математические заметки СВФУ», 2021 Целью работы является исследование разрешимости естественных краевых задач для некоторых классов вырождающихся квазиэллиптических уравнений. Особенностями изучаемых задач является то, что, несмотря на вырождение, граничные многообразия в них не освобождаются от несения краевых условий.
Kozhanov, Aleksandr Ivanovich +1 more
openaire +3 more sources
Elliptic and Parabolic Equations with Involution and Degeneration at Higher Derivatives
Mathematics, 2022 We study the solvability in Sobolev spaces of boundary value problems for elliptic and parabolic equations with variable coefficients in the presence of an involution (involutive deviation) at higher derivatives, both in the nondegenerate and degenerate ...
Aleksandr I. Kozhanov +1 more
doaj +1 more source
Meromorphic solutions of a third order nonlinear differential equation [PDF]
, 2010 We prove that all the meromorphic solutions of the nonlinear differential equation c0 u"' + 6 u^4 + c1 u" + c2 u u' + c3 u^3 + c4 u'+ c5 u^2 + c6 u +c7=0 are elliptic or degenerate elliptic, and we build them explicitly.Comment: 12 pages, to appear ...
Conte, Robert, Tuen-Wai, Ng
core +2 more sources
Linear Inverse Problems for Multi-term Equations with Riemann — Liouville Derivatives
Известия Иркутского государственного университета: Серия "Математика", 2021 The issues of well-posedness of linear inverse coefficient problems for multi-term equations in Banach spaces with fractional Riemann – Liouville derivatives and with bounded operators at them are considered. Well-posedness criteria are obtained both for
M. M. Turov, V.E. Fedorov, B.T. Kien
doaj +1 more source
On a viscous fourth-order parabolic equation with boundary degeneracy
Boundary Value Problems, 2022 A viscous fourth-order parabolic equation with boundary degeneracy is studied. By using the variational method, the existence of a time-discrete fourth-order elliptic equation with homogeneous boundary conditions is solved.
Bo Liang +4 more
doaj +1 more source
Liouville properties and critical value of fully nonlinear elliptic operators [PDF]
, 2016 We prove some Liouville properties for sub- and supersolutions of fully nonlinear degenerate elliptic equations in the whole space. Our assumptions allow the coefficients of the first order terms to be large at infinity, provided they have an appropriate
Bardi, Martino, Cesaroni, Annalisa
core +2 more sources
Smoothness of certain degenerate elliptic equations [PDF]
Proceedings of the American Mathematical Society, 1980 Given p > 1 , p ≠ 2 p > 1,p \ne 2 , let u be a solution to div ( | grad u | P − 2
openaire +1 more source
Optimal Regularity of a Degenerate Elliptic Equation
Journal of Nonlinear Mathematical Physics, 2022 AbstractIn this paper, we consider the optimal regularity of solutions to elliptic equation with a Grushin-like operator. By using the Feynman–Kac formula, we first get the expression of heat kernel, and then by using the properties of heat kernel, the optimal regularity of solutions will be obtained.
Xiaohuan Wang, Jihui Zhang
openaire +2 more sources