Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904408 | Acta Mathematica Scientia | 2018 | 10 Pages |
Abstract
In this article, we study the existence of infinitely many solutions to the degenerate quasilinear elliptic system
-div(h1(x)|âu|p-2âu)=d(x)|u|r-2u+Gu(x,u,Ï
)-div(h2(x)|âÏ
|q-2âÏ
)=f(x)|Ï
|s-2Ï
+GÏ
(x,u,Ï
)u=Ï
=0inΩinΩonâΩwhere Ω is a bounded domain in
RN with smooth boundary âΩ, Nâ¥2, 1 < r < p < â, 1 < s < q < â; h1(x) and h2(x) are allowed to have “essential” zeroes at some points in
Ω;d(x)|u|r-2u and
f(x)|Ï
|s-2Ï
are small sources with Gu(x,u,v), Gv(x,u,v) being their high-order perturbations with respect to (u,v) near the origin, respectively.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Huijuan SONG, Jingxue YIN, Zejia WANG,