An upper bound for the number of solutions of ternary purely exponential diophantine equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.07.004
Abstract: Abstract Let a , b , c be fixed coprime positive integers with min { a , b , c } > 1 . In this paper, combining the Gel'fond–Baker method with an elementary… read more here.
Keywords: bound number; solutions ternary; number; upper bound ... See more keywords
Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinearity"
DOI: 10.1088/1361-6544/ab7d1f
Abstract: An eigenvalue problem for Maxwell's equations with anisotropic cubic nonlinearity is studied. The problem describes propagation of transverse magnetic waves in a dielectric layer filled with (nonlinear) anisotropic Kerr medium. The nonlinearity involves two non-negative… read more here.
Keywords: nonlinear eigenvalue; finite number; eigenvalue problem; number solutions ... See more keywords