Solar energy paper index
On the emergence of dead cores in elliptic systems with sublinear competitive interactions
One-line summary
A solar energy research paper on On the emergence of dead cores in elliptic systems with sublinear competitive interactions.
Engineering notes
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Chinese explanation / 中文解读
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Original abstract
In this paper, we study semilinear elliptic systems with sublinear coupling terms, showing that, under competition-type interactions, solutions typically have dead cores, i.e., they vanish on certain open subsets of the domain. We apply our results to a large class of solutions treated in the literature, for instance to ground states and least energy sign-changing solutions, under Dirichlet boundary conditions or in the whole space. The proofs are based on a general result stating that subsolutions to a certain sublinear equation have dead cores, and on uniform Hölder bounds.
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