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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/27224
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Title: | On heteroclinic solutions for BVPs involving φ-Laplacian operators without asymptotic or growth assumptions |
Authors: | Minhós, Feliz |
Keywords: | φ-Laplacian operator heteroclinic solutions problems in the real line fixed point theory |
Issue Date: | Apr-2019 |
Publisher: | Wiley - V C H Verlag GmbbH & Co. |
Citation: | Feliz Minhós, On heteroclinic solutions for BVPs involving φ-Laplacian operators without asymptotic or growth assumptions, Mathematische Nachrichten, Volume 292, Issue 4, pp.841-849. https://doi.org/10.1002/mana.201700470 |
Abstract: | In this paper we consider the second order discontinuous equation in the real line,
(φ(a(t)u′(t)))′ = f(t,u(t),u′(t)), a.e.t∈R,
u(-∞) = A, u(+∞)=B,
with φ an increasing homeomorphism such that φ(0)=0 and φ(R)=R, a∈C(R) with a(t)>0, for t∈ℝ, f:R³→R a L¹-Carathéodory function and A,B∈ℝ verifying an adequate relation.
We remark that the existence of heteroclinic solutions is obtained without asymptotic or growth assumptions on the nonlinearities φ and f. Moreover, as far as we know, our main result is even new when φ(y)=y, that is, for equation
(a(t)u′(t))′=f(t,u(t),u′(t)), a.e.t∈R. |
URI: | https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.201700470 http://hdl.handle.net/10174/27224 |
ISSN: | 0025584X, 15222616 |
Type: | article |
Appears in Collections: | MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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