Semiclassical solutions of perturbed biharmonic equations with critical nonlinearity
| dc.contributor.author | He, Yubo | |
| dc.contributor.author | Tang, Xianhua | |
| dc.contributor.author | Zhang, Wen | |
| dc.date.accessioned | 2022-03-21T13:53:55Z | |
| dc.date.available | 2022-03-21T13:53:55Z | |
| dc.date.issued | 2017-01-16 | |
| dc.description.abstract | We consider the perturbed biharmonic equations ε4∆2u + V(x)u = ƒ(x, u), x ∈ ℝN and ε4∆2u + V(x)u = Q(x)|u|2**-2u + ƒ(x, u), x ∈ ℝN where ∆2 is the biharmonic operator, N ≥ 5, 2** = 2N/N-4 is the Sobolev critical exponent, Q(x) is a bounded positive function. Under some mild conditions on V and ƒ, we show that the above equations have at least one nontrivial solution provided that ε ≤ ε0, where the bound ε0 is formulated in terms of N, V, Q and ƒ. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | He, Y., Tang, X., & Zhang, W. (2017). Semiclassical solutions of perturbed biharmonic equations with critical nonlinearity. <i>Electronic Journal of Differential Equations, 2017</i>(19), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15524 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Perturbed biharmonic equation | |
| dc.subject | Semiclassical solution | |
| dc.subject | Critical nonlinearity | |
| dc.title | Semiclassical solutions of perturbed biharmonic equations with critical nonlinearity | |
| dc.type | Article |