Multiplicity of solutions to an elliptic problem with singularity and measure data
Date
2019-05-06
Authors
Ghosh, Sekhar
Panda, Akasmika
Choudhuri, Debajyoti
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Elliptic PDEs, p-Laplacian, Radon measure
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.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.