3 problems
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The Lane–Emden concentration-height conjecture
Let be a smooth bounded domain, and let be a family of solutions satisfying the uniform energy bound … Assume that, along a subsequence, the conce…
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The soliton resolution conjecture for the (2+1)-dimensional wave maps equation
Consider a sequence of wave maps into with an asymptotic decomposition along time slices, consisting of finitely many rescaled, asymptotically separated solitons…
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Walpuski's quantization conjecture for Fueter sections
Walpuski's quantization conjecture. The quantization statement for Fueter sections should hold.