Existence of positive solutions to nonlinear elliptic systems involving gradient term and reaction potential
In this note we study the elliptic system $$\displaylines{ -\Delta u = z^p+f(x) \quad \text{in }\Omega , \cr -\Delta z = |\nabla u|^{q}+g(x) \quad \text{in }\Omega , \cr z,u > 0 \quad \text{in }\Omega ,\cr z=u= 0 \quad \text{on }\partial \Omega, }$$ where $\Omega \subset \mathbb{R}^{N}$...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/113/abstr.html |