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A nonlinear fourth order diffusion problem: Convergence to the steady state and non-negativity of solutions

โœ Scribed by J.N. Flavin


Book ID
108176132
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
109 KB
Volume
343
Category
Article
ISSN
0022-247X

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The existence of n and infinitely many positive solutions is proved for the nonlinear fourth-order periodic boundary value problem where n is an arbitrary natural number and > -2 2 , 0 < < ( 1 2 + 2 2 ) 2 , / 4 + / 2 + 1 > 0. This kind of fourth-order boundary value problems usually describes the e