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- W2042411146 abstract "Synopsis We first study the Poisson equation Δu = f in Ώ ω , and , where Ω ω = {( r cos θ, r sin θ): 0< r <1, θ ∈(0,ω)} is a sector in ℝ 2 , ω ∈ (0, 2π), Г 0 = {(cos θ, sin θ): θ ∈ (0, ω)} and Г 1 = ∂Ω ω − Г 0, b and λ are in ℝ 1 . We obtain Schauder-type estimates and Fredholm alternative theory for the problem. We then study the symmetry breaking problem for the Gel'fand equation Δ u + λ e u = 0 in Ω ω and obtain a complete picture about the relationships among three parameters λ, b , and ω in the problem." @default.
- W2042411146 created "2016-06-24" @default.
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- W2042411146 date "1991-01-01" @default.
- W2042411146 modified "2023-09-27" @default.
- W2042411146 title "Symmetry breaking for semilinear elliptic equations on sectorial domains in ℝ2" @default.
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- W2042411146 doi "https://doi.org/10.1017/s0308210500029127" @default.
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