Elliptic Partial Differential Equation Involving a Singularity and a Radon Measure

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Authors

  • Akasmika Panda
     ,IN
  • Sekhar Ghosh
     ,IN
  • Debajyoti Choudhuri
     ,IN

DOI:

https://doi.org/10.18311/jims/2019/20912

Keywords:

Elliptic PDE, Sobolev Space, Schauder Fixed Point Theorem
35J35, 35J60

Abstract

The aim of this paper is to prove the existence of solution for a partial differential equation involving a singularity with a general nonnegative, Radon measure μ as its nonhomogenous term which is given as

−Δu = f(x)h(u) + μ in Ω,

u = 0 on ∂Ω,

u > 0 on Ω,

where Ω is a bounded domain of RN, f is a nonnegative function over Ω.

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Published

2018-12-12

How to Cite

Panda, A., Ghosh, S., & Choudhuri, D. (2018). Elliptic Partial Differential Equation Involving a Singularity and a Radon Measure. The Journal of the Indian Mathematical Society, 86(1-2), 95–117. https://doi.org/10.18311/jims/2019/20912

Issue

Volume 86, Issue 1-2, January-June 2019

Section

Articles

License

Copyright (c) 2018 Akasmika Panda, Sekhar Ghosh, Debajyoti Choudhuri

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2018-04-14
Accepted 2023-01-30
Published 2018-12-12

 

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