共查询到20条相似文献,搜索用时 15 毫秒
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Shao-Yuan Huang 《Journal of Differential Equations》2018,264(9):5977-6011
In this paper, we study the classification and evolution of bifurcation curves of positive solutions for the one-dimensional Minkowski-curvature problem where , and for . Furthermore, we show that, for sufficiently large , the bifurcation curve may have arbitrarily many turning points. Finally, we apply these results to obtain the global bifurcation diagrams for Ambrosetti–Brezis–Cerami problem, Liouville–Bratu–Gelfand problem and perturbed Gelfand problem with the Minkowski-curvature operator, respectively. Moreover, we will make two lists which show the different properties of bifurcation curves for Minkowski-curvature problems, corresponding semilinear problems and corresponding prescribed curvature problems. 相似文献
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Kuo-Chih Hung 《Journal of Differential Equations》2009,246(4):1568-309
We study the bifurcation diagrams of positive solutions of the multiparameter p-Laplacian problem
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Fethi Mahmoudi 《Advances in Mathematics》2007,209(2):460-525
We consider the equation −ε2Δu+u=up in Ω⊆RN, where Ω is open, smooth and bounded, and we prove concentration of solutions along k-dimensional minimal submanifolds of ∂Ω, for N?3 and for k∈{1,…,N−2}. We impose Neumann boundary conditions, assuming 1<p<(N−k+2)/(N−k−2) and ε→0+. This result settles in full generality a phenomenon previously considered only in the particular case N=3 and k=1. 相似文献
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Shangjiang Guo Juanjuan Man 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(13):4418-4432
The goal of this paper is to develop a center manifold theory for delay differential equations with parameters. As applications, we use the center manifold theorem to establish fold and Bogdanov-Takens bifurcations. In particular, we obtain the versal unfoldings of delayed predator-prey systems with predator harvesting at the Bogdanov-Takens singularity. 相似文献
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Zongming Guo 《Journal of Differential Equations》2007,240(2):279-323
We consider the following Cauchy problem with a singular nonlinearity
- (P)
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In this paper, we are concerned with the following three point boundary value problem
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Yong-Kui Chang Zhi-Han Zhao 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(6):2210-2219
In this paper, we establish a new composition theorem for square-mean almost automorphic functions under conditions which are different from Lipschitz conditions in the literature. We apply this new composition theorem together with Schauder’s fixed point theorem to investigate the existence of square-mean almost automorphic mild solutions for a stochastic differential equation in a real separable Hilbert space. Finally, an interesting corollary is also given for the sub-linear growth cases. 相似文献
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Shin-Hwa Wang Tzung-Shin Yeh 《Journal of Mathematical Analysis and Applications》2008,342(2):1175-1191
We study exact multiplicity of positive solutions and the bifurcation curve of the p-Laplacian perturbed Gelfand problem from combustion theory
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A model of a dynamic viscoelastic adhesive contact between a piezoelectric body and a deformable foundation is described. The model consists of a system of the hemivariational inequality of hyperbolic type for the displacement, the time dependent elliptic equation for the electric potential and the ordinary differential equation for the adhesion field. In the hemivariational inequality the friction forces are derived from a nonconvex superpotential through the generalized Clarke subdifferential. The existence of a weak solution is proved by embedding the problem into a class of second-order evolution inclusions and by applying a surjectivity result for multivalued operators. 相似文献
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A. Iannizzotto 《Archiv der Mathematik》2004,82(4):352-360
We shall present a new version of a recently appeared theorem for the
existence and localization of solutions of the Neumann problem
associated to the equation
, based on a general
variational principle by Ricceri. Our study will be especially aimed to
express a certain hypothesis regarding the function g in its
sharpest form, and a limit case is enquired by an approximation
Received: 7 July 2003 相似文献
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Vicenţiu Rădulescu 《Archiv der Mathematik》2005,84(6):538-550
We consider the nonlinear Sturm-Liouville problem –u = f(u) + h in (0, 1), u(0) = u(1) = 0, where h L2(0,1) and f is a positive convex nonlinearity with superlinear growth at infinity. Our main result establishes that the above boundary value problem admits a finite number of solutions but it cannot have infinitely many solutions.Received: 8 July 2004 相似文献
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Bhatia Sumit Kaur 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(8):2368-2382
Let Ω be a bounded domain in RN,N≥2, with C2 boundary. In this work, we study the existence of multiple positive solutions of the following problem: