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

Abstract

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.

Keywords

• barrier strip
• $\phi$-laplacian
• topological transversality theorem
• existence