Existence of solutions to $p$-Laplacian equations involving general subcritical growth

In this article, we consider the quasilinear elliptic equation $-\Delta_p u=\mu f(x,u)$ with the Dirichlet boundary coditions, and under suitable growth condition on the nonlinear term f. Existence of solutions is given for all $\mu>0$ via the variational method and some analysis techniques...

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Bibliographic Details
Main Author: Yong-Yi Lan
Format: Article
Language:English
Published: Texas State University 2014-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/151/abstr.html