Publicación: Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem
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2013-10-01
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info:eu-repo/semantics/openAccess
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Springer-Verlag
Resumen
In this paper we deal with the existence of positive solutions for the following nonlocal type of problems {-Δu = α/(σωg(u)dx) p f(u) in Ω u>0 in Ω u=0 on ∂ Ω where Ω is a bounded smooth domain in ℝ N (N≥1), f,g are continuous positive functions, σ>0 and pεℝ. We give sufficient conditions on the functions f and g in order to have existence of positive solutions.
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Semilinear elliptic equations, nonlocal equations, Bifurcation methods, 2010 Mathematics Subject Classification, 35J61, 35B32
Citación
Arcoya, D., Leonori, T., Primo, A. Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem (2013) Acta Applicandae Mathematicae, 127 (1), pp. 87-104. Cited 19 times. https://doi.org/10.1007/s10440-012-9792-1
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Facultades y escuelas::Facultad de Ciencias
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Matemáticas Fundamentales