The abstract version of Struwe’s monotonicity trick developed by Jeanjean and Toland for functionals depending on a real parameter is strengthened in the sense that it provides, for almost every value of the parameter, the existence of a bounded almost symmetric Palais–Smale sequence at the mountain-pass level whenever a mild symmetry assumption is set on the energy functional. In addition, the whole theory is extended to the case of continuous functionals on Banach spaces, in the framework of non-smooth critical point theory.

Squassina, M., On the Struwe-Jeanjean-Toland monotonicity trick, <<PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS>>, 2012; 142 (N/A): 155-169 [http://hdl.handle.net/10807/89750]

On the Struwe-Jeanjean-Toland monotonicity trick

Squassina, Marco
Primo
2012

Abstract

The abstract version of Struwe’s monotonicity trick developed by Jeanjean and Toland for functionals depending on a real parameter is strengthened in the sense that it provides, for almost every value of the parameter, the existence of a bounded almost symmetric Palais–Smale sequence at the mountain-pass level whenever a mild symmetry assumption is set on the energy functional. In addition, the whole theory is extended to the case of continuous functionals on Banach spaces, in the framework of non-smooth critical point theory.
Inglese
Squassina, M., On the Struwe-Jeanjean-Toland monotonicity trick, <<PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS>>, 2012; 142 (N/A): 155-169 [http://hdl.handle.net/10807/89750]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/89750
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