Monotonicity and rigidity of solutions to some elliptic systems with uniform limits
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Publication:3299017
DOI10.1142/S0219199719500445zbMath1448.35163arXiv1704.06430OpenAlexW2963582264WikidataQ128003119 ScholiaQ128003119MaRDI QIDQ3299017
Nicola Soave, Alberto Farina, Berardino Sciunzi
Publication date: 17 July 2020
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.06430
Second-order elliptic systems (35J47) Entire solutions to PDEs (35B08) Symmetries, invariants, etc. in context of PDEs (35B06) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (11)
On the Gibbons' conjecture for equations involving the \(p\)-Laplacian ⋮ Domain walls in the coupled Gross-Pitaevskii equations with the harmonic potential ⋮ Gradient Lagrangian systems and semilinear PDE ⋮ On a Liouville-type theorem for the Ginzburg-Landau system ⋮ Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system ⋮ Gibbons' conjecture for quasilinear elliptic equations involving a gradient term ⋮ Symmetry and asymmetry of components for elliptic Gross-Pitaevskii system ⋮ Moving planes for domain walls in a coupled system ⋮ Linear non-degeneracy of the 1-D blow-up limit in the phase segregation of Bose-Einstein condensates ⋮ On the weak separation limit of a two-component Bose-Einstein condensate ⋮ One-dimensional symmetry of solutions to non-cooperative elliptic systems
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