Homotopy and nonlinear boundary value problems involving singular φ-Laplacians
(2013) Journal of Fixed Point Theory and Applications — Vol. 13, n° 1, p. 25-35 (2013)
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- Abstract
- Homotopy methods are used to find sufficient conditions for the solvability of nonlinear boundary value problems of the form (φ(u′))′ = f(t, u, u′), g(u(α), φ(u′(β))) = 0, where (α, β) = (0, 1), (1, 0), (0, 0) or (1, 1), φ is a homeomorphism from the open ball B(a) ⊂ ℝ<sup>n</sup> onto ℝ<sup>n</sup>, f is a Carathéodory function, g: ℝ<sup>n</sup> × ℝ<sup>n</sup> →ℝ<sup>m</sup> is continuous and m ≤ 2n. © 2013 Springer Basel.
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Mawhin, J. (2013). Homotopy and nonlinear boundary value problems involving singular φ-Laplacians. Journal of Fixed Point Theory and Applications, 13(1), 25-35. https://doi.org/10.1007/s11784-013-0112-9 (Original work published 2013)