We consider a class of quasilinear elliptic equations whose principal part includes the p-area and the p-Laplace operators, when p lies in a suitable left neighborhood of 2. For the critical points of the associated functional, we provide estimates of the corresponding critical groups, under assumptions that do not guarantee any further regularity of the critical point.

Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations

Silvia Cingolani;
2015

Abstract

We consider a class of quasilinear elliptic equations whose principal part includes the p-area and the p-Laplace operators, when p lies in a suitable left neighborhood of 2. For the critical points of the associated functional, we provide estimates of the corresponding critical groups, under assumptions that do not guarantee any further regularity of the critical point.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/206257
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