Title :
Anisotropic elliptic problems involving sublinear terms
Author :
Farkas, Csaba ; Fodor, Janos ; Kristaly, Alexandru
Author_Institution :
Dept. of Math. & Inf., Sapientia Hungarian Univ. of Transilvania, Targu Mureş, Romania
Abstract :
In the present paper we prove a multiplicity result for an anisotropic sublinear elliptic problem with Dirichlet boundary condition, depending on a positive parameter λ. By variational arguments, we prove that for enough large values of λ, our anisotropic problem has at least two non-zero distinct solutions. In particular, we show that at least one of the solutions provides a Wulff-type symmetry.
Keywords :
partial differential equations; Dirichlet boundary condition; Wulff-type symmetry; anisotropic elliptic problems; partial differential equations; positive parameter; sublinear terms; Computational intelligence; Electronic mail; Informatics; Minimization; Shape; Transforms; Finsler-Laplace operator; Minimization; Minkowski spaces; Mountain Pass argument;
Conference_Titel :
Applied Computational Intelligence and Informatics (SACI), 2015 IEEE 10th Jubilee International Symposium on
Conference_Location :
Timisoara
DOI :
10.1109/SACI.2015.7208187