On Solvability of the Boundary-Value Problem for (p,q)-Nonlinear Elliptic and Parabolic Equations

被引：0

作者：

I. V. Nezhinskaya

机构：

来源：

Journal of Mathematical Sciences | 2004年 / 124卷 / 3期

关键词：

Elliptic Equation; Parabolic Equation; Dirichlet Problem; Special Class; Global Solution;

D O I：

10.1023/B:JOTH.0000046212.15553.8e

中图分类号：

学科分类号：

摘要：

A class of nonuniform (p, q)-nonlinear elliptic equations is considered. The existence of a classical global solution to the Dirichlet problem is established for some parameters p and q characterizing the growth with respect to the gradient of a solution. The result is generalized to a special class of (p, q)-nonlinear parabolic equations. Bibliography: 14 titles.

引用

页码：5001 / 5017

页数：16

共 12 条

[1]

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[2]

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[3]

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[4]

Marcellini P.(1991)Regularity and existence of solutions of elliptic equations with p,q growth conditions J. Differ. Equations 90 1-30

[5]

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[6]

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[7]

Acerbi E.(2004)Regularity results for parabolic systems related to a class of non-Newtonian fluids An. I. H. Poincare 21 25-60

[8]

Mingione G.(2004)Boundary estimate for the gradient of a solution to the dirichlet problem for Probl. Mat. Anal. 27 137-150

[9]

Acerbi E.(undefined)p q)-nonlinear equations undefined undefined undefined-undefined

[10]

Mingione G.(undefined)undefined undefined undefined undefined-undefined

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