Anisotropic elliptic problems involving sublinear terms

Csaba Farkas, Janos C. Fodor, Alexandru Kristály · 2015

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.

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