Continuous dependence of solutions for indefinite semilinear elliptic problems

We consider the superlinear elliptic problem $$ -\Delta u + m(x)u = a(x)u^p $$ in a bounded smooth domain under Neumann boundary conditions, where $m \in L^{\sigma}(\Omega)$, $\sigma\geq N/2$ and $a\in C(\overline{\Omega})$ is a sign changing function. Assuming that the associated first ei...

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Bibliographic Details
Main Authors: Elves A. B. Silva, Maxwell L. Silva
Format: Article
Language:English
Published: Texas State University 2013-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/239/abstr.html