一类双参p-Laplacian方程正解的存在性与多解性

Existence and multiplicity of positive solutions for a class of multiparameter p-Laplacian problems

利用上下解方法与临界点理论,研究一类双参数的p-Laplacian方程的正解,在两个参数各自给定的范围内得到了正解的存在性与多解性.

This paper studies the positive solutions for a class of multiparameter p-Laplacian problems via the upper and lower solution method and the critical point theory.The existence and multiplicity of positive solutions are obtained when both parameters are in their given intervals.