# Existence Solution for Class of p-Laplacian Equations

Volume 4, Issue 1, pp 53--59
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### Authors

Malihe Bagheri - Department of mathematic, Golestan Institute of Higher Education, Golestan Province, Iran Mahnaz Bagheri - Department of Mathematice, Islamic Azad University, behshar Branch, Iran

### Abstract

We study existence of positive solution of the equation $-\Delta_pu=\lambda|u|^{p-2}u+f(x,u)$ with zero Dirichlet boundary conditions in bounded domain $\Omega\in \mathbb{R}^n$ where $\Delta_p$ denotes the p-laplacian operator defined by $-\Delta_pz=div(|\nabla z|^{p-2}\nabla z); p,\lambda\in \mathbb{R}$ and $p>1$.Our main result establishes the existence of weak solution.

### Share and Cite

##### ISRP Style

Malihe Bagheri, Mahnaz Bagheri, Existence Solution for Class of p-Laplacian Equations, Journal of Mathematics and Computer Science, 4 (2012), no. 1, 53--59

##### AMA Style

Bagheri Malihe, Bagheri Mahnaz, Existence Solution for Class of p-Laplacian Equations. J Math Comput SCI-JM. (2012); 4(1):53--59

##### Chicago/Turabian Style

Bagheri, Malihe, Bagheri, Mahnaz. "Existence Solution for Class of p-Laplacian Equations." Journal of Mathematics and Computer Science, 4, no. 1 (2012): 53--59

### Keywords

• p-laplacian
• weak solution
• homogenous.

•  35J66
•  35J92
•  35A01

### References

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