Morse Index and Critical Groups for p-Laplace Equations with Critical Exponents |
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Authors: | Silvia Cingolani Giuseppina Vannella |
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Institution: | (1) Dipartimento di Matematica, Politecnico di Bari, Via Amendola 126/B, 70126 Bari, Italy |
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Abstract: | In this work we consider a class of Euler functionals defined in Banach spaces, associated to quasilinear elliptic problems
involving the critical Sobolev exponent. We perform critical groups estimates via the Morse index.
Dedicated to the memory of Professor Aldo Cossu
The research of the authors was supported by the MIUR project “Variational and topological methods in the study of nonlinear
phenomena” (PRIN 2005). |
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Keywords: | 58E05 35B20 35J60 35J70 |
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