Eigenproblem for p-Laplacian and nonlinear elliptic equation with nonlinear boundary conditions

被引：0
|
作者：
Berrajaa Mohammed
Chakrone Omar
Diyer Fatiha
Diyer Okacha
机构：
[1] University Mohamed I,Department of Mathematics, Faculty of sciences
来源：
Acta Mathematica Sinica, English Series | 2015年 / 31卷
关键词：
Eigenproblem; -Laplacian operator; variational method; non-resonance problems; 35P30; 47F05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we study the solvability of nonlinear problem for p-Laplacian with nonlinear boundary conditions. We give some characterization of the first eigenvalue of an intermediary eigenvalue problem as simplicity, isolation and its strict monotonicity. Afterward, we character also the second eigenvalue and its strictly partial monotony. On the other hand, in some sense, we establish the non-resonance below the first and furthermore between the first and second eigenvalues of nonlinear Steklov-Robin.
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页码：659 / 674
页数：15
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