On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0

Abstract

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org. This content downloaded from 155.69.24.ABSTRACT. The first eigenvalue A = RI for the equation div(jVulp 2Vu) + Alulp 2u = 0 is simple in any bounded domain. (Through the nonlinear counterpart to the Rayleigh quotient A, is related to the Poincare inequality.)

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