Multiple positive solutions for a nonlocal problem involving critical exponent
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Date
2017-11-05
Authors
Wang, Yue
Suo, Hong-Min
Lei, Chun-Yu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the nonlocal problem
-(α - b ∫ℝ4|∇u|2 dx) ∆u = |u|2u + μƒ(x), in ℝ4,
u ∈ D1,2(ℝ4),
where α, b are positive constants, μ is a non-negative parameter, ƒ(x) ∈ L4/3(ℝ4) is a non-negative function. By using the variational method, the existence of multiple positive solutions are obtained.
Description
Keywords
Multiple positive solutions, Nonlocal problem, Critical exponent
Citation
Wang, Y., Suo, H. M., & Lei, C. Y. (2017). Multiple positive solutions for a nonlocal problem involving critical exponent. <i>Electronic Journal of Differential Equations, 2017</i>(275), pp. 1-11.
Rights
Attribution 4.0 International