Elliptic Partial Differential Equation Involving a Singularity and a Radon Measure
Akasmika Panda, Sekhar Chandra Ghosh, Debajyoti Choudhuri · Journal of the Indian Mathematical Society · 2018
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 R N , f is a nonnegative function over Ω.