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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/19859
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Title: | Sufficient conditions for the existence of heteroclinic solutions for Phi-Laplacian differential equations |
Authors: | Minhós, Feliz |
Keywords: | Phi--Laplacian operator heteroclinic solutions problems on the real line |
Issue Date: | 2017 |
Publisher: | Taylor&Francis Group |
Citation: | Feliz Minhós, "Sufficient conditions for the existence of heteroclinic solutions for φ-Laplacian differential equations",- Complex Variables and Elliptic Equations, volume 62, 2017, Issue 1, pages 123-134 |
Abstract: | In this paper we consider the second order discontinuous equation in the real line,
(a(t)φ(u′(t)))′ = f(t,u(t),u′(t)), a.e.t∈R,
u(-∞) = ν⁻, u(+∞)=ν⁺,
with φ an increasing homeomorphism such that φ(0)=0 and φ(R)=R, a∈C(R,R\{0})∩C¹(R,R) with a(t)>0, or a(t)<0, for t∈R, f:R³→R a L¹-Carathéodory function and ν⁻,ν⁺∈R such that ν⁻<ν⁺.
We point out 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, this 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: | http://www.tandfonline.com/doi/full/10.1080/17476933.2016.1204606 http://hdl.handle.net/10174/19859 |
ISSN: | Print ISSN: 1747-6933 Online ISSN: 1747-6941 |
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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