## A direct uniqueness proof for equations involving the $$p$$-Laplace operator.(English)Zbl 1100.35032

Summary: We provide a simple convexity argument for some known uniqueness theorems. Previous proofs were more technical and had to pay attention to the behaviour of solutions near the boundary.

### MSC:

 35J20 Variational methods for second-order elliptic equations 35J70 Degenerate elliptic equations 49R50 Variational methods for eigenvalues of operators (MSC2000)
Full Text: