On a positive solution for $(p,q)$-Laplace equation with Nonlinear

  • Abdellah Zerouali Centre Régional des Métiers de l’Education et de la Formation
  • Belhadj Karim Faculté des Sciences et Téchniques
  • Omar Chakrone Faculté des Sciences Oujda
  • Abdelmajid Boukhsas Faculté des Sciences Oujda

Resumo

In the presentp aper, we study the existence and non-existence results of a positive solution for the Steklov eigenvalue problem driven by nonhomogeneous operator $(p,q)$-Laplacian with indefinite weights. We also prove that in the case where $\mu>0$ and with $1<q<p<\infty$ the results are completely different from those for the usua lSteklov eigenvalue problem involving the $p$-Laplacian with indefinite weight, which is retrieved when $\mu=0$. Precisely, we show that when $\mu>0$ there exists an interval of principal eigenvalues for our Steklov eigenvalue problem.

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Publicado
2019-03-10
Seção
Artigos