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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)
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