Existence results for some nonlinear problems with $\phi$-Laplacian

Using the barrier strip argument, we obtain the existence of solutions for the nonlinear boundary value problem $$ (\phi(u'))'=f(t,u,u'),\qquad u(0)=A,\qquad u'(1)=B, $$ where $\phi$ is an increasing homeomorphism.

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Published in:Electronic journal of qualitative theory of differential equations 2015-05, Vol.2015 (22), p.1-7
Main Authors: Ma, Ruyun, Zhang, Lu, Liu, Rui
Format: Article
Language:English
Subjects:
barrier strip
existence
phi$-laplacian
topological transversality theorem
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Liu, Rui
description Using the barrier strip argument, we obtain the existence of solutions for the nonlinear boundary value problem $$ (\phi(u'))'=f(t,u,u'),\qquad u(0)=A,\qquad u'(1)=B, $$ where $\phi$ is an increasing homeomorphism.
doi_str_mv 10.14232/ejqtde.2015.1.22
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subjects barrier strip
existence
phi$-laplacian
topological transversality theorem
title Existence results for some nonlinear problems with $\phi$-Laplacian
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