On a singular nonlinear dirichlet problem
On a singular nonlinear dirichlet problem
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DOI：
10.1080/03605308908820656
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发表时间：
1989
影响因子：
1.9
通讯作者：
M. Coclite;G. Palmieri
中科院分区：
文献类型：
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作者：
M. Coclite;G. Palmieri
引言让我们考虑下面的模型问题，其中0<；a，0<；p，04X和Ne~~，2$N是边界充分光滑的有界域。根据Fulks和Maybee[5J，Crandall，Rabinowitz和Tartar]的结果[4J和最近的戈麦斯161，仅举几个例子，得出(*，O)具有唯一的经典解。此外，如果A#0和p 4 1，Stuart[9，定理2，1]已证明(*.A)至少有一个经典解。目的
INTRODUCTION Let us consider the following model problem where 0< a, 0< p, 0 4 X and ne~~, 2$ N, is a bounded domain whose boundary is sufficiently smooth. By results of Fulks and Maybee [5J, Crandall, Rabinowitz and Tartar [4J and more recently Gomes 161, to mention only some, it follows that (*, O) possesses a unique classical solution. Moreover if A# 0 and p 4 1, Stuart [9, Theorem 2, 1] has show that (*. a) has at least one classical solution. The purpose of