Multiplicity of solutions to an elliptic problem with singularity and measure data

Ghosh, SekharPanda, AkasmikaChoudhuri, Debajyoti2021-11-052021-11-052019-05-06Ghosh, 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. 1-21.1072-6691https://hdl.handle.net/10877/14793In 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.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalElliptic PDEsp-LaplacianRadon measureMultiplicity of solutions to an elliptic problem with singularity and measure dataArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.