Existence theorems for a class of systems involving two quasilinear operators

被引：2

作者：

Covei, D. -P. ^{[1
]}

机构：

[1] Bucharest Univ Econ Studies, Bucharest, Romania

来源：

IZVESTIYA MATHEMATICS | 2019年 / 83卷 / 01期

关键词：

partial differential equations; cooperative systems; linear systems; non-linear systems; methods of approximation; BLOW-UP SOLUTIONS; ASYMPTOTIC-BEHAVIOR; POSITIVE SOLUTIONS; RADIAL SOLUTIONS; EQUATIONS; UNIQUENESS;

D O I：

10.1070/IM8731

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of positive radial solutions for a class of quasilinear systems of the form { Delta(phi 1) u = a(1) (vertical bar x vertical bar)f(1)(v), x is an element of R-,(N) N >= 3, Delta(phi 2) v = a(2) (vertical bar x vertical bar)f(2) (u), where Delta(phi)w := div(phi(vertical bar del w vertical bar)del w), under appropriate conditions on the functions phi(1) , phi(2) , the weights a(1), a(2) and the non-linearities f(1) , f(2) . The conditions imposed for the existence of such solutions are different from those in previous results.

引用

页码：49 / 64

页数：16

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