scholarly journals A complete classification of bifurcation diagrams of classes of a multiparameter Dirichlet problem with concave-convex nonlinearities

2009 ◽  
Vol 349 (1) ◽  
pp. 113-134 ◽  
Author(s):  
Kuo-Chih Hung ◽  
Shin-Hwa Wang
Keyword(s):  
Dirichlet Problem ◽  
Complete Classification ◽  
Bifurcation Diagrams

scholarly journals A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem

2007 ◽  
Vol 330 (1) ◽  
pp. 276-290
Author(s):  
Shin-Yi Lee ◽  
Jong-Yi Liu ◽  
Shin-Hwa Wang ◽  
Chiou-Ping Ye
Keyword(s):  
Dirichlet Problem ◽  
Complete Classification ◽  
Bifurcation Diagrams

scholarly journals A complete classification of bifurcation diagrams of ap-Laplacian Dirichlet problem

PAMM ◽  
2007 ◽  
Vol 7 (1) ◽  
pp. 2040087-2040088
Author(s):  
Shin-Yi Lee ◽  
Jong-Yi Liui ◽  
Shin-Hwa Wang ◽  
Chiou-Ping Yei
Keyword(s):  
Dirichlet Problem ◽  
Complete Classification ◽  
Bifurcation Diagrams

scholarly journals Multiplicative automatic sequences

2021 ◽  
Author(s):  
Jakub Konieczny ◽  
Mariusz Lemańczyk ◽  
Clemens Müllner
Keyword(s):  
Complete Classification ◽  
Automatic Sequences ◽  
Complex Valued

AbstractWe obtain a complete classification of complex-valued sequences which are both multiplicative and automatic.

scholarly journals Characteristic cohomology and observables in higher spin gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Alexey Sharapov ◽  
Evgeny Skvortsov
Keyword(s):  
Higher Spin Gravity ◽  
Complete Classification ◽  
Gravity Models ◽  
Simons Theory ◽  
Surface Charges ◽  
Higher Spin ◽  
Dynamical Invariants ◽  
Chern Simons ◽  
Conserved Currents

Abstract We give a complete classification of dynamical invariants in 3d and 4d Higher Spin Gravity models, with some comments on arbitrary d. These include holographic correlation functions, interaction vertices, on-shell actions, conserved currents, surface charges, and some others. Surprisingly, there are a good many conserved p-form currents with various p. The last fact, being in tension with ‘no nontrivial conserved currents in quantum gravity’ and similar statements, gives an indication of hidden integrability of the models. Our results rely on a systematic computation of Hochschild, cyclic, and Chevalley-Eilenberg cohomology for the corresponding higher spin algebras. A new invariant in Chern-Simons theory with the Weyl algebra as gauge algebra is also presented.

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