Title of article
The existence of three positive solutions of a singular pp-Laplacian problem
Author/Authors
Lin Zhao، نويسنده , , Yuan He، نويسنده , , Peihao Zhao، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
9
From page
5745
To page
5753
Abstract
We establish the existence of three positive solutions of the pp-Laplacian problem, which involves a singular nonlinearity. Three solutions are obtained by using the cutoff argument and the three critical points theorem proved by Ricceri (2000) in [15] and Bonanno (2003) in [12], provided the nonlinear term is a (p−1)(p−1)-sublinear growth at infinity.
Keywords
Nonlinear elliptic equations , Three critical points theorem , Singular pp-Laplacian , (p?1)(p?1)-Sublinearity at infinity , positive solutions
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2011
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
863355
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