On the spectrum of the p-biharmonic operator involving p-Hardy's inequality

Abstract

This work is devoted to the study of the spectrum for p-biharmonic operator with an indefinite weight in a bounded domain.

Eigenvalue of (p,q)-Biharmonic System along the Ricci Flow

“…In Ref. [11], Khalil et al researched the spectrum for the p-biharmonic operator. It was proved that the spectrum of the p-biharmonic operator with Dirichlet boundary conditions and indefinite weight includes at least one nondecreasing sequence of positive eigenvalues.…”

Entropy solutions for nonlinear parabolic equations in Musielak Orlicz spaces without Delta_2-conditions

“…A large number of research deals with existence solutions of elliptic and parabolic problems under different assumptions in order to get a classical results see [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,25,26,27,28,31,37,42,43] for more details.…”

Eigencurves of the p(·)-Biharmonic operator with a Hardy-type term

“…Hardy inequality in W (Ω) and the related problems for nonlinear elliptic equation have attracted considerable interest. We refer to papers [6,7,9], where further bibliographical references can be found.…”