A semilinear elliptic problem involving nonlinear boundary condition and sign-changing potential
| dc.contributor.author | Wu, Tsung-fang | |
| dc.date.accessioned | 2021-07-20T20:27:40Z | |
| dc.date.available | 2021-07-20T20:27:40Z | |
| dc.date.issued | 2006-10-17 | |
| dc.description.abstract | In this paper, we study the multiplicity of nontrivial nonnegative solutions for a semilinear elliptic equation involving nonlinear boundary condition and sign-changing potential. With the help of the Nehari manifold, we prove that the semilinear elliptic equation: -Δu + u = λƒ(x)|u|q-2u in Ω, ∂u/∂v = g(x)|u|p-2u on ∂Ω, has at least two nontrivial nonnegative solutions for λ is sufficiently small. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wu, T. F. (2006). A semilinear elliptic problem involving nonlinear boundary condition and sign-changing potential. <i>Electronic Journal of Differential Equations, 2006</i>(131), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14004 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Semilinear elliptic equations | |
| dc.subject | Nehari manifold | |
| dc.subject | Nonlinear boundary condition | |
| dc.title | A semilinear elliptic problem involving nonlinear boundary condition and sign-changing potential | en_US |
| dc.type | Article |