Results 1 to 10 of about 446 (63)
On the analyticity of the Dirichlet–Neumann operator and Stokes waves [PDF]
Rendiconti Lincei - Matematica e Applicazioni, 2022 We prove an analyticity result for the Dirichlet-Neumann operator under space periodic boundary conditions in any dimension in an unbounded domain with infinite depth. We derive an analytic bifurcation result of analytic Stokes waves –i.e. space periodic
M. Berti, A. Maspero, Paolo Ventura
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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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, 2021 In a weighted Killing warped productMn f ×ρR with warping metric 〈 , 〉M+ ρ2 dt, where the warping function ρ is a real positive function defined on Mn and the weighted function f does not depend on the parameter t ∈ R, we use equivariant bifurcation ...
M. Velásquez +2 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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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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Boundary Value Problems, 2014 We are concerned with the following nonlinear problem: −div(w(x)|∇u|p(x)−2∇u)+|u|p(x)−2u=μg(x)|u|p(x)−2u+f(λ,x,u,∇u) in Ω, ∂u∂n=0 on ∂ Ω, which is subject to a Neumann boundary condition, provided that μ is not an eigenvalue of the p(x)-Laplacian.
Byung-Hoon Hwang +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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Existence of an unbounded branch of the set of solutions for equations of p(x)-Laplace type
Boundary Value Problems, 2014 We are concerned with the following nonlinear problem −div(ϕ(x,|∇u|)∇u)=μ|u|p(x)−2u+f(λ,x,u,∇u)in Ω subject to Dirichlet boundary conditions, provided that μ is not an eigenvalue of the p(x)-Laplacian.
Yun-Ho Kim
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Attractor bifurcation for the extended Fisher-Kolmogorov equation with periodic boundary condition
Boundary Value Problems, 2013 In this paper, we study the bifurcation and stability of solutions of the extended Fisher-Kolmogorov equation with periodic boundary condition. We prove that the system bifurcates from the trivial solution to an attractor as parameter crosses certain ...
Qiang Zhang, Hongying Luo
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