Multiplicity of solutions to an elliptic problem with singularity and measure data
| dc.contributor.author | Ghosh, Sekhar | |
| dc.contributor.author | Panda, Akasmika | |
| dc.contributor.author | Choudhuri, Debajyoti | |
| dc.date.accessioned | 2021-11-05T19:44:49Z | |
| dc.date.available | 2021-11-05T19:44:49Z | |
| dc.date.issued | 2019-05-06 | |
| dc.description.abstract | In this article, we prove the existence of multiple nontrivial solutions to the equation -∆pu = λ/uγ + g(u) + µ in Ω, u = 0 on ∂Ω, u > 0 in Ω, where Ω ⊂ ℝN is a smooth bounded domain with N ≥ 3, 1 < p - 1 < q, λ > 0, γ > 0, g satisfies certain conditions, µ ≥ 0 is a bounded Radon measure. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ghosh, S., Panda, A., & Choudhuri, D. (2019). Multiplicity of solutions to an elliptic problem with singularity and measure data. <i>Electronic Journal of Differential Equations, 2019</i>(60), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14793 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Elliptic PDEs | |
| dc.subject | p-Laplacian | |
| dc.subject | Radon measure | |
| dc.title | Multiplicity of solutions to an elliptic problem with singularity and measure data | |
| dc.type | Article |