Sign-Changing Solutions for Nonlinear Operator Equations | Zendy

Yanbin Sang | Zendy

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Sign-Changing Solutions for Nonlinear Operator Equations

Author(s) -

Yanbin Sang

Publication year - 2014

Publication title -

journal of operators

Language(s) - English

Resource type - Journals

eISSN - 2314-5064

pISSN - 2314-5072

DOI - 10.1155/2014/379056

Subject(s) - sign (mathematics) , mathematics , fixed point index , nonlinear system , semi elliptic operator , operator (biology) , partial differential equation , mathematical analysis , elliptic operator , hypoelliptic operator , degree (music) , differential operator , physics , boundary value problem , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , gene , acoustics

The existence of six solutions for nonlinear operator equations is obtained by using the topological degree and fixed point index theory. These six solutions are all nonzero. Two of them are positive, the other two are negative, and the fifth and sixth ones are both sign-changing solutions. Furthermore, the theoretical results are applied to elliptic partial differential equations

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