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math.AP2022
Constructive proofs for localized radial solutions of semilinear elliptic systems on
Jan Bouwe van den Berg, Olivier Hénot, Jean-Philippe Lessard
Ground state solutions of elliptic problems have been analyzed extensively in the theory of partial differential equations, as they represent fundamental spatial patterns in many m…
math.AP2016★ 5 cited
The Poincaré-Bendixson Theorem and the Non-linear Cauchy-Riemann Equations
J. B. van den Berg, S. Munao, R. C. A. M. Vandervorst
Fiedler and Mallet-Paret prove a version of the classical Poincaré-Bendixson Theorem for scalar parabolic equations. We prove that a similar result holds for bounded solutions of t…