Results 31 to 40 of about 688 (61)
Advanced Nonlinear Studies, 2020 We prove the existence of extremals for fractional Moser–Trudinger inequalities in an interval and on the whole real line. In both cases we use blow-up analysis for the corresponding Euler–Lagrange equation, which requires new sharp estimates obtained ...
Mancini Gabriele, Martinazzi Luca
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A Fujita-type blowup result and low energy scattering for a nonlinear Schr\"o\-din\-ger equation
, 2015 In this paper we consider the nonlinear Schr\"o\-din\-ger equation $i u_t +\Delta u +\kappa |u|^\alpha u=0$. We prove that if $\alpha
Cazenave, Thierry +3 more
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Self-Similar Blowup Solutions to the 2-Component Camassa-Holm Equations
, 2010 In this article, we study the self-similar solutions of the 2-component Camassa-Holm equations% \begin{equation} \left\{ \begin{array} [c]{c}% \rho_{t}+u\rho_{x}+\rho u_{x}=0 m_{t}+2u_{x}m+um_{x}+\sigma\rho\rho_{x}=0 \end{array} \right.
Lakin W. D. +4 more
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Segregated solutions for nonlinear Schrödinger systems with a large number of components
Advanced Nonlinear StudiesIn this paper we are concerned with the existence of segregated non-radial solutions for nonlinear Schrödinger systems with a large number of components in a weak fully attractive or repulsive regime in presence of a suitable external radial potential.
Chen Haixia, Pistoia Angela
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Advances in Nonlinear AnalysisThe present study investigates the existence and non-degeneracy of normalized solutions for the following fractional Schrödinger equation: (−Δ)su+V(x)u=aup+μu,x∈RN,u∈Hs(RN){\left(-\Delta )}^{s}u+V\left(x)u=a{u}^{p}+\mu u,\hspace{1.0em}x\in {{\mathbb{R}}}^
Guo Qing, Zhang Yuhang
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, 2015 We are interested in the upper bound of the lifespan of solutions of semilinear wave equations from above. For the sub-critical case in high dimensions, it has been believed that the basic tools of its analysis are Kato's lemma on ordinary differential ...
Takamura, Hiroyuki
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Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case
Advances in Nonlinear Analysis, 2017 In this article we investigate both numerically and theoretically the influence of a defect on the blow-up of radial solutions to a cubic NLS equation in dimension 2.
Goubet Olivier, Hamraoui Emna
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Positive Solutions for Systems of Quasilinear Equations with Non-homogeneous Operators and Weights
Advanced Nonlinear Studies, 2020 In this paper we deal with positive radially symmetric solutions for a boundary value problem containing a strongly nonlinear operator. The proof of existence of positive solutions that we give uses the blow-up method as a main ingredient for the search ...
García-Huidobro Marta +2 more
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Coercive elliptic systems with gradient terms
Advances in Nonlinear Analysis, 2017 In this paper we give a classification of positive radial solutions of the following system:
Filippucci Roberta, Vinti Federico
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Sign-Changing Solutions for the One-Dimensional Non-Local sinh-Poisson Equation
Advanced Nonlinear Studies, 2020 We study the existence of sign-changing solutions for a non-local version of the sinh-Poisson equation on a bounded one-dimensional interval I, under Dirichlet conditions in the exterior of I.
DelaTorre Azahara +2 more
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