Multiple solutions for nonhomogeneous Choquard equations
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Date
2018-10-17
Authors
Wang, Lixia
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we consider the multiple solutions for the nonhomogeneous Choquard equations
-∆u + u = (1/|x|α ∗ |u|p)|u|p-2 u + h(x), x ∈ ℝN,
and
-∆u = (1/|x|α ∗ |u|2*α)|u|2*α-2u + h(x), x ∈ ℝN,
where N ≥ 3, 0 < α < N, 2 - α/N < p < 2*α = 2N-α/N-2. Under suitable assumptions on h, we obtain at least two solutions on the subcritical case 2 - α/N < p < 2*α and on the critical case p = 2*α.
Description
Keywords
Choquard equation, Nonhomogeneous, Critical exponent
Citation
Wang, L. (2018). Multiple solutions for nonhomogeneous Choquard equations. <i>Electronic Journal of Differential Equations, 2018</i>(172), pp. 1-27.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.