Opuscula Math. 38, no. 6 (2018), 765-777
https://doi.org/10.7494/OpMath.2018.38.6.765

Opuscula Mathematica

# Improved bounds for solutions of ϕ-Laplacians

Jorge Huentutripay

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

Keywords: Orlicz-Sobolev space, Harnack inequality, $$\phi$$-Laplacian.

Mathematics Subject Classification: 35B50, 35J20, 35J60.

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• Khalifa University, Department of Applied Mathematics and Sciences, P.O. Box 127788, Abu Dhabi, United Arab Emirates
• Jorge Huentutripay
• Universidad Austral de Chile, Instituto de Ciencias Físicas y Matemáticas, Campus Isla Teja, Valdivia, Chile
• Communicated by Vicentiu D. Radulescu.
• Revised: 2018-02-21.
• Accepted: 2018-02-21.
• Published online: 2018-07-05.