Results 1 to 10 of about 419 (48)
Approximate nonradial solutions for the Lane-Emden problem in the ball
Advances in Nonlinear Analysis, 2021 In this paper we provide a numerical approximation of bifurcation branches from nodal radial solutions of the Lane Emden Dirichlet problem in the unit ball in ℝ2, as the exponent of the nonlinearity varies.
Fazekas Borbála +2 more
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Generic properties of the Rabinowitz unbounded continuum
Advanced Nonlinear Studies, 2023 In this article, we prove that, generically in the sense of domain variations, any solution to a nonlinear eigenvalue problem is either nondegenerate or the Crandall-Rabinowitz transversality condition that is satisfied. We then deduce that, generically,
Bartolucci Daniele +3 more
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Advanced Nonlinear Studies, 2023 In our previous paper [K. Ishige, S. Okabe, and T. Sato, A supercritical scalar field equation with a forcing term, J. Math. Pures Appl. 128 (2019), pp.
Ishige Kazuhiro +2 more
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Bifurcation analysis for a modified quasilinear equation with negative exponent
Advances in Nonlinear Analysis, 2021 In this paper, we consider the following modified quasilinear problem:
Chen Siyu +3 more
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Advances in Nonlinear Analysis, 2022 In this paper we study the existence and the nonexistence of solutions to an inhomogeneous non-linear elliptic problem (P)−Δu+u=F(u)+κμ in RN, u>0 in RN, u(x)→0 as |x|→∞,- \Delta u + u = F(u) + \kappa \mu \quad {\kern 1pt} {\rm in}{\kern 1pt ...
Ishige Kazuhiro +2 more
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Complementing maps, continuation and global bifurcation [PDF]
, 1983 We state, and indicate some of the consequences of, a theorem whose sole assumption is the nonvanishing of the Leray- Schauder degree of a compact vector field, and whose conclusions yield multidimensional existence, continuation and bifurcation ...
Fitzpatrick, P. +2 more
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Weakly-nonlinear analysis of the Rayleigh–Taylor instability in a vertically vibrated, large aspect ratio container [PDF]
, 2001 We consider a horizontal liquid layer supported by air in a wide (as compared to depth) container, which is vertically vibrated with an appropriately large frequency, intending to counterbalance the Rayleigh-Taylor instability of the fíat, rigid-body ...
Lapuerta González, María Victoria +2 more
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Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study [PDF]
, 2018 In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ODE containing a constant delay. We study the bifurcation problem of the equilibria and we obtain an approximation of the periodic
Caraballo Garrido, Tomás +2 more
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Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator [PDF]
, 2004 In this paper we extend existing results concerning generalized eigenvalues of Pucci's extremal operators. In the radial case, we also give a complete description of their spectrum, together with an equivalent of Rabinowitz's Global Bifurcation Theorem ...
Alexander Quaas +36 more
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Trimodal steady water waves [PDF]
, 2014 We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests in each minimal period.
Ehrnström, Mats, Wahlén, Erik
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