Results 41 to 50 of about 746 (89)

A-priori bounds for quasilinear problems in critical dimension

Advances in Nonlinear Analysis, 2019
We establish uniform a-priori bounds for solutions of the quasilinear ...
Romani Giulio
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Extremals for Fractional Moser–Trudinger Inequalities in Dimension 1 via Harmonic Extensions and Commutator Estimates

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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Segregated solutions for nonlinear Schrödinger systems with a large number of components

Advanced Nonlinear Studies
In 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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A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization

, 2015
We propose a new blow-up criterion for the 3D Euler equations of incompressible fluid flows, based on the 3D Euler-Voigt inviscid regularization. This criterion is similar in character to a criterion proposed in a previous work by the authors, but it is ...
Larios, Adam, Titi, Edriss S.
core  

Limiting profile of positive solutions to heterogeneous elliptic BVPs with nonlinear flux decaying to negative infinity on a portion of the boundary

Open Mathematics
This paper ascertains the limiting profile of the positive solutions of heterogeneous logistic elliptic boundary value problems under nonlinear mixed boundary conditions.
Cano-Casanova Santiago
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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, Manasevich Raúl, Tanaka Satoshi   +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, Mancini Gabriele, Pistoia Angela   +2 more
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Existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities

Advanced Nonlinear Studies
In this paper, we study the existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities γ| u|p-2 u log   |u| + u log  |u|, where γ > 0 and p > 2 satisfy certain conditions.
Zhang Wei, Zhang Jialing
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