Existence of lattice solutions to semilinear elliptic systems with periodic potential
Under the assumption that the potential W is invariant under a general discrete reflection group $G'=TG$ acting on $mathbb{R}^n$, we establish existence of G'-equivariant solutions to $Delta u - W_u(u) = 0$, and find an estimate. By taking the size of the cell of the lattice in space d...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2012-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/15/abstr.html |