Waldo Arriagada, Jorge Huentutripay
Abstract:
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 email: waldo.arriagada@kustar.ac.ae |
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Jorge Huentutripay Instituto de Ciencias Físicas y Matemáticas Universidad Austral de Chile Casilla 567, Valdivia, Chile email: jorge.huentutripay@uach.cl |
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