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Improved bounds for solutions of Φ-laplacians

Arriagada W., Huentutripay J.

Opuscula Mathematica

2018

Vol. 38, no. 6

765--777

In this short paper we prove a parametric version of the Harnack inequality for Φ-Laplacian equations. In this sense, the estimates are optimal and represent an improvement of previous bounds for this kind of operators.

Existence theorems of nonlinear asymptotic BVP for a homeomorphism

Szymańska-Dębowska K.

Opuscula Mathematica

2016

Vol. 36, no. 3

399--407

In this work, we are concerned with the existence of solutions for the following φ -Laplacian boundary value problem on the half-line [formula] where [formula] is continuous. The results are proved using the properties of the Leray-Schauder topological degree.