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 作者：Jean-Pierre Gossez , Liamidi Leadi 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2006, Vol.Conference (14), pp.207DOAJ 摘要：We work on the whole $R^N$ and prove the existence of a first nonprincipal eigenvalue for an asymmetric problem with weights involving the p-Laplacian. As an application we obtain a first nontrivial curve in the corresponding Fucik spectrum.
 作者：Tomas Godoy , Jean-Pierre Gossez , Sofia R. Paczka 来源：[J].Electronic Journal of Differential Equations(IF 0.426), 2007, Vol.Conference (16), pp.137DOAJ 摘要：A minimax formula for the principal eigenvalue of a nonselfadjoint Dirichlet problem was established in [8,18]. In this paper we generalize this formula to the case where an indefinite weight is present. Our proof requires less regularity and, unlike that in [8,18], does not rely...
 作者：Djairo G. Figueiredo , Jean-Pierre Gossez , Pedro Ubilla 来源：[J].Calculus of Variations and Partial Differential Equations(IF 1.236), 2017, Vol.56 (2), pp.1-19Springer 摘要：Abstract(#br)We study the existence, nonexistence and multiplicity of positive solutions for a family of problems $$-\Delta _p \,u=f_\lambda (x,u)$$ - Δ p u = f λ ( x , u ) in $$\Omega , u = \varphi \ \text{ on } ~\partial \Omega$$ Ω , u = φ ...
 作者：Djairo G. de Figueiredo , Jean-Pierre Gossez 来源：[J].Communications in Partial Differential Equations(IF 1.025), 2019, Vol.17 (1-2), pp.339-346Taylor & Francis 摘要：In this paper, we show that the strict mononicity of the eigen-values of an uniformly elliptic operator of second order is equivalent to a unique continuation property.
 作者：Aomar Anane , Jean-Pierre Gossez 来源：[J].Communications in Partial Differential Equations(IF 1.025), 1990, Vol.15 (8), pp.1141-1159Taylor & Francis
 作者：Jacqueline Fleckinger-Pellé , Jean-Pierre Gossez , François de Thélin 来源：[J].Journal of Differential Equations(IF 1.48), 2003, Vol.196 (1), pp.119-133Elsevier 摘要：Abstract(#br)We study the antimaximum principle for the p -Laplacian defined on the whole set R N with an indefinite weight function. We show that a local version of this principle holds but that the global version does not hold.
 作者：Djairo G. de Figueiredo , Jean-Pierre Gossez , Pedro Ubilla 来源：[J].Journal of Functional Analysis(IF 1.252), 2009, Vol.257 (3), pp.721-752Elsevier 摘要：Abstract(#br)We study the existence, nonexistence and multiplicity of positive solutions for a family of problems − Δ p u = f λ ( x , u ) , u ∈ W 0 1 , p ( Ω ) , where Ω is a bounded domain in R N , N > p , and λ > 0 is a parameter. The family we consider...
 作者：Mabel Cuesta , Jean-Pierre Gossez , Pierpaolo Omari 来源：[J].Nonlinear Analysis(IF 1.64), 1999, Vol.38 (4), pp.481-496Elsevier
 作者：Djairo G. De Figueiredo , Jean-Pierre Gossez , Pedro Ubilla 来源：[J].Journal of Functional Analysis(IF 1.252), 2003, Vol.199 (2), pp.452-467Elsevier 摘要：Abstract(#br)In this paper the usual notions of superlinearity and sublinearity for semilinear problems like −Δ u = f ( x , u ) are given a local form and extended to indefinite nonlinearities. Here f ( x , s ) is allowed to change sign or to vanish for s near zero as well a...
 作者：Jean-Pierre Gossez 来源：[J].Journal of Optimization Theory and Applications(IF 1.423), 1969, Vol.3 (2), pp.89-97Springer 摘要：Abstract(#br)We prove the existence of optimal controls for an ordinary differential system which is nonlinear in the state function x but is linear in the control function u , that is, $$dx/dt = f_1 (t,x) + f_2 (t,x)u$$ Rather weak regularity assumptions are made on the right-ha...