We consider a class of quasilinear elliptic equations whose principal part includes the p-area (for 1 < p < l) and the p-Laplace (for 1 < pa2) operator. For the critical points of the associated functional, we provide estimates of the corresponding critical polynomial.
Cingolani, S., Degiovanni, M., Vannella, G., On the critical polynomial of functionals related to p-area (1 < p < ∞) and p-Laplace (1 < p ≤ 2) type operators, <<ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI>>, 2015; 26 (1): 49-56. [doi:10.4171/RLM/691] [http://hdl.handle.net/10807/64853]
On the critical polynomial of functionals related to p-area (1 < p < ∞) and p-Laplace (1 < p ≤ 2) type operators
Degiovanni, Marco;
2015
Abstract
We consider a class of quasilinear elliptic equations whose principal part includes the p-area (for 1 < p < l) and the p-Laplace (for 1 < pa2) operator. For the critical points of the associated functional, we provide estimates of the corresponding critical polynomial.
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