Existence and Multiplicity of Solutions to a p-Laplacian Equation with Nonlinear Boundary Condition
| dc.contributor.author | Pfluger, Klaus | |
| dc.date.accessioned | 2019-03-25T21:12:07Z | |
| dc.date.available | 2019-03-25T21:12:07Z | |
| dc.date.issued | 1998-04-10 | |
| dc.description.abstract | We study the nonlinear elliptic boundary value problem Au = ƒ(x, u) in Ω, Bu = g(x, u) on ∂Ω, where A is an operator of p-Laplacian type, Ω is an unbounded domain in ℝN with non-compact boundary, and ƒ and g are subcritical nonlinearities. We show existence of a nontrivial nonnegative weak solution when both f and g are superlinear. Also we show existence of at least two nonnegative solutions when one of the two functions ƒ, g is sublinear and the other one is superlinear. The proofs are based on variational methods applied to weighted function spaces. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Pfluger, K. (1998). Existence and multiplicity of solutions to a p-Laplacian equation with nonlinear boundary condition. <i>Electronic Journal of Differential Equations, 1998</i>(10), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7946 | |
| dc.language.iso | en | |
| dc.publisher | Southwest 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, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | p-Laplacian | |
| dc.subject | Nonlinear boundary condition | |
| dc.subject | Variational methods | |
| dc.subject | Unbounded domain | |
| dc.subject | Weighted function space | |
| dc.title | Existence and Multiplicity of Solutions to a p-Laplacian Equation with Nonlinear Boundary Condition | |
| dc.type | Article |