On the critical polynomial of functionals related to $p$-area (for $1 < p < \infty$) and $p$-Laplace $(1 < p≤2)$ type operators

Silvia Cingolani; Marco Degiovanni; Giuseppina Vannella

doi:10.4171/rlm/691

On the critical polynomial of functionals related to $p$ -area (for $1 < p < \infty$ ) and $p$ -Laplace $(1 < p \leq 2)$ type operators

Silvia Cingolani
Politecnico di Bari, Italy
Marco Degiovanni
Università Cattolica del Sacro Cuore, Brescia, Italy
Giuseppina Vannella
Politecnico di Bari, Italy

$On the critical polynomial of functionals related to $p$-area (for $1 < p < \infty$) and $p$-Laplace $(1 < p≤2)$ type operators cover$

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Abstract

We consider a class of quasilinear elliptic equations whose principal part includes the $p$ -area (for $1 < p < \infty$ ) and the $p$ -Laplace (for $1 < p \leq 2)$ operator. For the critical points of the associated functional, we provide estimates of the corresponding critical polynomial.

Cite this article

Silvia Cingolani, Marco Degiovanni, Giuseppina Vannella, On the critical polynomial of functionals related to $p$ -area (for $1 < p < \infty$ ) and $p$ -Laplace $(1 < p \leq 2)$ type operators. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26 (2015), no. 1, pp. 49–56

DOI 10.4171/RLM/691