MULTIPLE POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CONCAVE-CONVEX NONLINEARITIES AND MULTIPLE HARDY-TYPE TERMS

作者：Hsu Tsing San^*

来源：Acta Mathematica Scientia, 2013, 33(5): 1314-1328.

• multiple positive solutions
• concave-convex nonlinearities
• multiple Hardy-type terms

In this paper, we deal with the existence and multiplicity of positive solutions for the quasilinear elliptic problem %26lt;br%26gt;[GRAPHICS] %26lt;br%26gt;where Omega subset of R-N (N %26gt;= 3) is a smooth bounded domain such that the different points a(i) is an element of Omega i = 1, 2, ..., k, 0 %26lt;= mu(i) %26lt; %26lt;(mu)over bar%26gt; = (N - p/p)(p), gimel %26gt; 0, 1 %26lt;= q %26lt; p, and p* = pN/N - p. The results depend crucially on the parameters gimel, q and mu(i) for i = 1, 2, ..., k.

• 出版日期2013-9
• 单位长春大学