Waldo Arriagada, Jorge Huentutripay
In this article we define and characterize the homogeneous Orlicz space where is the N-function generated by an odd, increasing and not-necessarily differentiable homeomorphism . The properties of are treated in connection with the -Laplacian eigenvalue problem
where and is measurable. We use a classic Lagrange rule to prove that solutions of the -Laplace operator exist and are non-negative.
Submitted August 31, 2016. Published February 16, 2017.
Math Subject Classifications: 46E30, 46T30, 35J20, 35J50.
Key Words: Homogeneous space; Orlicz space; eigenvalue problem; phi-Laplacian
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| Waldo Arriagada |
Department of Applied Mathematics and Sciences
Khalifa University, Al Zafranah, P.O. Box 127788
Abu Dhabi, United Arab Emirates
| Jorge Huentutripay |
Instituto de Ciencias Físicas y Matemáticas
Universidad Austral de Chile
Casilla 567, Valdivia, Chile
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