MULTIPLE SOLUTIONS FOR ELLIPTIC EQUATIONS INVOLVING A GENERAL OPERATOR IN DIVERGENCE FORM

作者：Bisci Giovanni Molica^*; Repovs Dusan

来源：Annales Academiae Scientiarum Fennicae-Mathematica, 2014, 39(1): 259-273.

DOI：10.5186/aasfm.2014.3909

• Three weak solutions
• variational methods
• divergence type equations

In this paper, exploiting variational methods, the existence of three weak solutions for a class of elliptic equations involving a general operator in divergence form and with Dirichlet boundary condition is investigated. Several special cases are analyzed. In conclusion, for completeness, a concrete example of an application is presented by finding the existence of three nontrivial weak solutions for an uniformly elliptic second-order problem on a bounded Euclidean domain.

• 出版日期2014