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