Existence and nonexistence of solutions for sublinear problems with prescribed number of zeros on exterior domains
We prove existence of radial solutions of $\Delta u+K(r)f(u)=0$ on the exterior of the ball, of radius R, centered at the origin in $\mathbb{R}^{N}$ such that $\lim_{r \to \infty} u(r)=0$ if R>0 is sufficiently small. We assume $f:\mathbb{R} \to \mathbb{R}$ is odd and there exists a $\beta>...
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| Format: | Article |
| Language: | English |
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Texas State University
2017-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/133/abstr.html |