The existence of positive solutions for nonlinear boundary system with $p$-Laplacian operator based on sign-changing nonlinearities

In this paper, we study a nonlinear boundary value system with $p$-Laplacian operator $$\left\{\begin{array}{lll} (\phi_{p_1}(u'))'+a_1(t)f(u,v)=0, 0<t<1,\cr (\phi_{p_2}(v'))'+a_2(t)g(u,v)=0, 0<t<1,\cr \alpha_1\phi_{p_1}(u(0))-\beta_1\phi_{p_1}(u'(0))=\gamma_1\p...

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Bibliographic Details
Main Author: Fuyi Xu
Format: Article
Language:English
Published: University of Szeged 2010-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=539