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CHARACTERIZATION OF THE TWO-DIMENSIONAL FIVEFOLD TRANSLATIVE TILES
期刊: BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2021; 149 (1)
In 1885, Fedorov discovered that a convex domain can form a lattice tiling of the Euclidean plane, if and only if it is a parallelogram or a centrally......
NONDEGENERACY OF NONRADIAL SIGN-CHANGING SOLUTIONS TO THE NONLINEAR SCHRODINGER EQUATION
期刊: BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2019; 147 (1)
We prove that the non-radial sign-changing solutions to the nonlinear Schrodinger equation Delta u - u + vertical bar u vertical bar(p-1)u = 0 in R-N,......