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Panda, Akasmika
- Elliptic Partial Differential Equation Involving a Singularity and a Radon Measure
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Authors
Affiliations
1 Department of Mathematics, National Institute of Technology, Rourkela, IN
1 Department of Mathematics, National Institute of Technology, Rourkela, IN
Source
The Journal of the Indian Mathematical Society, Vol 86, No 1-2 (2019), Pagination: 95-117Abstract
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.Keywords
Elliptic PDE, Sobolev Space, Schauder Fixed Point Theorem
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