On Positive Radial Solutions for a Class of Elliptic Equations | Zendy

Ying Wu | Zendy; Guodong Han | Zendy

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On Positive Radial Solutions for a Class of Elliptic Equations

Author(s) -

Ying Wu,

Guodong Han

Publication year - 2014

Publication title -

the scientific world journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.453

H-Index - 93

eISSN - 2356-6140

pISSN - 1537-744X

DOI - 10.1155/2014/507312

Subject(s) - fixed point index , eigenvalues and eigenvectors , mathematics , multiplicity (mathematics) , boundary value problem , mathematical analysis , nonlinear system , class (philosophy) , operator (biology) , domain (mathematical analysis) , fixed point , pure mathematics , physics , computer science , biochemistry , chemistry , repressor , quantum mechanics , artificial intelligence , transcription factor , gene

A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term f ( s , u ) need not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point index theory. Our conclusions are essential improvements of the results in Lan and Webb (1998), Lee (1997), Mao and Xue (2002), Stańczy (2000), and Han and Wang (2006).

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