Published Paper

Inserted: 24 may 2012
Last Updated: 6 jun 2012

Journal: Elec. Journ. of Diff. Eqns.
Number: 26
Pages: 1-10
Year: 2010

Abstract:

We consider the Dirichlet eigenvalue problem $-\Delta_p u = \lambda \Vert u \Vert_{L^q(\Omega)}^{p-q} \vert u\vert^{q-2} u$ in the unknowns $u\in W_0^{1,p}(\Omega)$ (the eigenfunction) and $\lambda>0$ (the eigenvalue) on a domain of finite measure.

Keywords: p-laplacian, eigenvalue

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