Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities

Zhiqing Han () and Ye Xue ()
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Zhiqing Han: Dalian University of Technology
Ye Xue: Dalian University of Technology

Partial Differential Equations and Applications, 2020, vol. 1, issue 5, 1-19

Abstract: Abstract Existence of nontrivial and multiple solutions for two types of non-local problems with sublinear or superlinear nonlinearities are investigated by linking theorems and index theory in critical point theory. Some results in the literature are extended.

Keywords: Non-local(Fractional) problems; Nontrivial(Multiple) solutions; Linking theorems; Index theory; 35R11; 35A15; 47A10 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s42985-020-00034-y

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