The Experts below are selected from a list of 215652 Experts worldwide ranked by ideXlab platform
Claudianor O Alves - One of the best experts on this subject based on the ideXlab platform.
-
Existence of Solution for a class of problem in whole mathbb r n rn without the ambrosetti rabinowitz condition
Manuscripta Mathematica, 2020Co-Authors: Claudianor O Alves, Marco A S SoutoAbstract:In this paper we study the Existence of Solution for a class of elliptic problem in whole $$\mathbb {R}^N$$ without the well known Ambrosetti–Rabinowitz condition. Here, we do not assume any monotonicity condition on f(s)/s for $$s>0$$ .
-
Existence of Solution for a class of problem in whole $$\mathbb {R}^N$$ R N without the Ambrosetti–Rabinowitz condition
manuscripta mathematica, 2020Co-Authors: Claudianor O Alves, Marco A S SoutoAbstract:In this paper we study the Existence of Solution for a class of elliptic problem in whole $$\mathbb {R}^N$$ R N without the well known Ambrosetti–Rabinowitz condition. Here, we do not assume any monotonicity condition on f ( s )/ s for $$s>0$$ s > 0 .
-
Existence of Solution for a nonlocal dispersal model with nonlocal term via bifurcation theory
Journal of Differential Equations, 2020Co-Authors: Claudianor O Alves, Natan De Assis Lima, Marco A S SoutoAbstract:Abstract In this paper we study the Existence of Solution for the following class of nonlocal problems L 0 u = u ( λ − ∫ Ω Q ( x , y ) | u ( y ) | p d y ) , in Ω , where Ω ⊂ R N , N ≥ 1 , is a smooth bounded domain, p > 0 , λ is a real parameter, Q : Ω × Ω → R is a nonnegative function, and L 0 : C ( Ω ‾ ) → C ( Ω ‾ ) is a nonlocal dispersal operator. The Existence of Solution is obtained via bifurcation theory.
-
Existence of Solution for a class of problem in whole $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition.
arXiv: Analysis of PDEs, 2019Co-Authors: Claudianor O Alves, Marco A S SoutoAbstract:In this paper we study the Existence of Solution for a class of elliptic problem in whole $\mathbb{R}^N$ without the well known Ambrosetti-Rabinowitz condition. Here, we do not assume any monotonicity condition on $f(s)/s$ for $s>0$.
-
Existence of Solution for a nonlocal dispersal model with nonlocal term via bifurcation theory
arXiv: Analysis of PDEs, 2017Co-Authors: Claudianor O Alves, Natan De Assis Lima, Marco A S SoutoAbstract:In this paper we study the Existence of Solution for the following class of nonlocal problems \[ L_0u =u \left(\lambda - \int_{\Omega}Q(x,y) |u(y)|^p dy \right) , \ \mbox{in} \ \Omega, \] where $\Omega \subset \mathbb{R}^{N}$, $N\geq 1$, is a bounded connected open, $p>0$, $\lambda$ is a real parameter, $Q:\Omega \times \Omega \to \mathbb{R}$ is a nonnegative function, and $L_0 : C(\overline{\Omega}) \to (\overline{\Omega})$ is a nonlocal dispersal operator. The Existence of Solution is obtained via bifurcation theory.
Dragos-patru Covei - One of the best experts on this subject based on the ideXlab platform.
-
Existence of Solution for a class of nonlocal elliptic problem via sub–superSolution method
Nonlinear Analysis-real World Applications, 2015Co-Authors: Claudianor O Alves, Dragos-patru CoveiAbstract:Abstract We show the Existence of Solution for some classes of nonlocal problems. Our proof combines the presence of sub and superSolution with the pseudomonotone operators theory.
-
Existence of Solution for a class of nonlocal elliptic problem via sub superSolution method
Nonlinear Analysis-real World Applications, 2015Co-Authors: Claudianor O Alves, Dragos-patru CoveiAbstract:Abstract We show the Existence of Solution for some classes of nonlocal problems. Our proof combines the presence of sub and superSolution with the pseudomonotone operators theory.
-
Existence of Solution for a class of nonlocal elliptic problem combining variational methods with the sub superSolution method
2013Co-Authors: Claudianor O Alves, Dragos-patru CoveiAbstract:We show the Existence of Solution for some classes of nonlocal problems. Our proof combines variational methods in the presence of a sub and superSolution.
David Ruiz - One of the best experts on this subject based on the ideXlab platform.
-
resonant semilinear problems with nonlinear term depending on the derivative
Journal of Mathematical Analysis and Applications, 2004Co-Authors: David RuizAbstract:We study the Existence of Solution for a boundary value problem at resonance where the nonlinearity depends only on the derivative. In a sense, we can say that the problem considered is strongly resonant. Our proofs make use of the Lyapunov–Schmidt reduction; in so doing, we are led with the asymptotic estimate of the corresponding bifurcation equation.
Xuemei Zhang - One of the best experts on this subject based on the ideXlab platform.
-
Existence result of second order differential equations with integral boundary conditions at resonance
Journal of Mathematical Analysis and Applications, 2009Co-Authors: Xuemei Zhang, Meiqiang Feng, Weigao GeAbstract:Abstract By using Mawhin's continuation theorem, some sufficient conditions for the Existence of Solution for a class of second-order differential equations with integral boundary conditions at resonance are established, which are complement of previously known results. The interesting point is that we shall deal with the case dim Ker L = 2 , which will cause some difficulties in constructing the projector Q. Since all the Existence results obtained in previous papers are for the case dim Ker L = 1 , our work is new.
Jinrong Wang - One of the best experts on this subject based on the ideXlab platform.
-
response to comments on the concept of Existence of Solution for impulsive fractional differential equations commun nonlinear sci numer simul 2014 19 401 3
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Michal Feckan, Yong Zhou, Jinrong WangAbstract:Abstract This paper is a response to “Comments on the concept of Existence of Solution for impulsive fractional differential equations” by Wang et al. (2014) [1]. Recently, Wang et al. (2014) [1] made some comments on our paper (Feckan et al., 2012) [2] and claimed that “The objective of this note to indicate the mistake in these counterexamples and show the plausibility of the previous results”. To achieve their aim, they used classical Caputo fractional derivative and changed it in each subintervals by keeping the impulses which start the lower bounded from different impulsive points. However, we (Feckan et al., 2012) [2] mean a different one, generalized Caputo derivative, by keeping in each impulses which start the lower bounded from zero. In support of our view-points, we present some scripts to address and discuss the comments.
-
on the concept and Existence of Solution for impulsive fractional differential equations
Communications in Nonlinear Science and Numerical Simulation, 2012Co-Authors: Michal Fec Kan, Yong Zhou, Jinrong WangAbstract:Abstract This paper is motivated from some recent papers treating the problem of the Existence of a Solution for impulsive differential equations with fractional derivative. We firstly show that the formula of Solutions in cited papers are incorrect. Secondly, we reconsider a class of impulsive fractional differential equations and introduce a correct formula of Solutions for a impulsive Cauchy problem with Caputo fractional derivative. Further, some sufficient conditions for Existence of the Solutions are established by applying fixed point methods. Some examples are given to illustrate the results.