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- W2000439401 abstract "This paper considers a discontinuous semilinear elliptic problem: [ -Delta u=g(u)H(u-mu )quad text{in }Omega,qquad u=hquad text{on }% partial Omega, ] −Δu=g(u)H(u−μ) in Ω, u=h on ∂Ω, where H is the Heaviside function, μ a real parameter and Ω the unit ball in ℝ2. We deal with the existence of solutions under suitable conditions on g, h, and μ. It is shown that the free boundary, i.e. the set where u=μ, is sufficiently smooth." @default.
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- W2000439401 date "1996-10-01" @default.
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- W2000439401 title "On a Free Boundary Problem" @default.
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- W2000439401 doi "https://doi.org/10.1002/(sici)1099-1476(199610)19:15<1257::aid-mma834>3.0.co;2-t" @default.
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