Multiple Nontrivial Solutions for a Nonlocal Problem with Sublinear Nonlinearity
In this paper, we study the following nonlocal problem −a−b∫Ω ∇u2dxΔu=λu+fxup−2u,x∈Ω,u=0,x∈∂Ω, where a,b>0 are constants, 1<p<2, λ>0, f∈L∞Ω is a positive function, and Ω is a smooth bounded domain in ℝN with N≥3. By variational methods, we obtain a pair of nontrivial solutions for the co...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6671882 |
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