Title of article :
Positive solutions for a class of p-Laplace problems
involving quasi-linear and semi-linear terms
Author/Authors :
Hongjun Yuan، نويسنده , , Mingtao Chen ?، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2007
Abstract :
The aim of this paper is to discuss the positive solutions of the p-Laplace problem
−div |∇u|p−2∇u +g(u)|∇u|p = λuq ,
where p >1, q >1, g : [0,∞)→[0,∞) is a nonnegative continuous function, λ is a real number. The sufficient
condition to have positive solutions of the above problem is g ∈ L1(R+). However, if g /∈ L1(R+),
there is no solution which belongs to it. Therefore, our results are optimal.
© 2006 Elsevier Inc. All rights reserved.
Keywords :
p-Laplace equation , Positive solutions
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications