Multiple solutions for a class of bi-nonlocal problems with nonlinear Neumann boundary conditions
Keyword(s):
In this paper, we are interested in a class of bi-nonlocal problems with nonlinear Neumann boundary conditions and sublinear terms at infinity. Using $(S_+)$ mapping theory and variational methods, we establish the existence of at least two non-trivial weak solutions for the problem provied that the parameters are large enough. Our result complements and improves some previous ones for the superlinear case when the Ambrosetti-Rabinowitz type conditions are imposed on the nonlinearities.
2008 ◽
Vol 32
(4)
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pp. 429-452
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2015 ◽
Vol 17
(03)
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pp. 1450016
2017 ◽
Vol 263
(5)
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pp. 2812-2850
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Nonlinear Neumann Boundary Conditions for Quasilinear Degenerate Elliptic Equations and Applications
1999 ◽
Vol 154
(1)
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pp. 191-224
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2013 ◽
Vol 37
(5)
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pp. 2623-2629
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