Universita Cattolica del S.C.
Dipartimento di Matematica & Fisica
Via Musei 41, 25121
Brescia, Italy
e-mail: squassin@dmf.unicatt.it
Marco Squassina
Abstract:
We are concerned with the existence of two solutions for a
fully nonlinear Emden-Fowler type equation.
One solution is obtained via local minimization while
the second solution follows by a mountain pass argument.
A non-existence result in strictly star-shaped
domains is also proven.
Submitted April 4, 2001. Published October 3, 2001.
Math Subject Classifications: 35D05, 58E05.
Key Words: Trudinger-Moser inequality, Euler's equations,
exponential growth, Palais-Smale condition
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Marco Squassina Universita Cattolica del S.C. Dipartimento di Matematica & Fisica Via Musei 41, 25121 Brescia, Italy e-mail: squassin@dmf.unicatt.it |
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