A VARIATIONAL APPROACH TO A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS NOT IN DIVERGENCE FORM

作者：Matzeu Michele^*; Servadei Raffaella

来源：Discrete and Continuous Dynamical Systems - Series S, 2012, 5(4): 819-830.

DOI：10.3934/dcdss.2012.5.819

• Quasilinear elliptic equations
• variational methods
• critical points theory
• iterative techniques
• regularity results

The aim of this paper is to use a variational approach in order to obtain the existence of non-trivial weak solutions of a quasilinear elliptic equation not in divergence form, in dimension N = 3. Moreover, we prove that our solution is C-1,C-alpha((Omega) over bar) and also locally C-2,C-alpha((Omega) over bar) for a suitable alpha is an element of (0, 1).

• 出版日期2012-8