Results 21 to 30 of about 31,354 (258)
Computing the location and the direction of bifurcation for sign changing solutions [PDF]
Differential Equations & Applications, 2010 We consider sign-changing solutions of the Dirichlet problem u +λ f(u )= 0, 0 < x < 1, u(0 )= u(1 )= 0, with n 0 interior roots. We give a necessary and sufficient condition that a turn occurs at the solution (λ,u(x)), depending only on the maximum value of the solution u(x) .I f a turn does occur, we give another formula allowing to compute the ...
Korman, Philip, Li, Yi
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Sign-Changing Solutions for Nonlinear Operator Equations [PDF]
Journal of Operators, 2014 The existence of six solutions for nonlinear operator equations is obtained by using the topological degree and fixed point index theory. These six solutions are all nonzero. Two of them are positive, the other two are negative, and the fifth and sixth ones are both sign-changing solutions.
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SIGN-CHANGING SOLUTIONS FOR A CLASS OF NONLINEAR SCHRÖDINGER EQUATIONS [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractUsing variational methods, we obtain the existence of sign-changing solutions for a class of asymptotically linear Schrödinger equations with deepening potential well.
Liu, Xiangqing, Huang, Yisheng
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On finding sign-changing solutions
Journal of Functional Analysis, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solutions of Sign‐Changing Fractional Differential Equation with the Fractional Derivatives [PDF]
Abstract and Applied Analysis, 2012 We study the singular fractional‐order boundary‐value problem with a sign‐changing nonlinear term , , where n − 1 < α ≤ n, n ∈ ℕ and n ≥ 3 with 0 < μ1 < μ2 < ⋯<μn−2 < μn−1 and n − 3 < μn−1 < α − 2, aj ∈ ℝ, 0 < ξ1 < ξ2 < ⋯<ξp−2 < 1 satisfying , 𝒟α is the standard Riemann‐Liouville derivative, f : [0,1] × ℝn → ℝ
Wu, T., Zhang, Xinguang, Lu, Y.
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On blow‐up rate for sign‐changing solutions in a convex domain [PDF]
Mathematical Methods in the Applied Sciences, 2004 AbstractThis paper studies a growth rate of a solution blowing up at time T of the semilinear heat equation ut − Δu − ∣u∣p−1 u=0 in a convex domain D in ℝn with zero‐boundary condition. For a subcritical p ∈ (1,(n+2)/(n−2)) a growth rate estimate ∣u(x,t)∣⩽C(T−t)−1/(p−1), x ∈ D, t ∈ (0,T) is established with C independent of t provided that D is ...
Giga, Y., Matsui, S., Sasayama, S.
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A Note on Sign-Changing Solutions to the NLS on the Double-Bridge Graph [PDF]
Symmetry, 2019 We study standing waves of the NLS equation posed on the double-bridge graph: two semi-infinite half-lines attached at a circle. At the two vertices, Kirchhoff boundary conditions are imposed. We pursue a recent study concerning solutions nonzero on the half-lines and periodic on the circle, by proving some existing results of sign-changing solutions ...
Noja, D, Rolando, S, Secchi, S
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Objective To compare the efficacy and safety of roxarestat versus recombinant human erythropoietin (rhEPO) in the management of renal anemia in patients undergoing maintenance hemodialysis. Methods This was a prospective, open‐label, randomized controlled trial.
Lingling Chen, Junjie Zhu, Qiaonan Ge
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai +4 more
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A sign-changing solution for the Schrödinger-Poisson equation
, 2014 We find a sign-changing solution for a class of Schrödinger-Poisson system in $\mathbb{R}^3$ as an existence result by minimization in a closed subset containing all the sign-changing solutions of the equation. The proof is based on variational methods in association with the deformation lemma and Miranda's theorem.
Alves, Claudianor O. +2 more
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