An optimization problem for the first eigenvalue of the $p-$Laplacian plus a potential
Julián Fernández Bonder - Departamento de Matematica, FCEyN, UBA, 1428 Buenos Aires, Argentina (email)
Abstract: In this paper we study the optimization problem for the first eigenvalue of the $p-$Laplacian plus a potential $V$ with respect to $V$, when the potential is restricted to a bounded, closed and convex set of $L^q(\Omega)$.
Keywords: $p-$Laplacian, nonlinear eigenvalues, minimization problems.
Received: January 2006; Revised: May 2006; Available Online: September 2006.
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