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.
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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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Cingolani, S., Vannella, G. Morse Index and Critical Groups for p-Laplace Equations with Critical Exponents. MedJM 3, 495–512 (2006). https://doi.org/10.1007/s00009-006-0093-7
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DOI: https://doi.org/10.1007/s00009-006-0093-7