Results 201 to 210 of about 304,931 (226)

Blow-Up Solutions for Semilinear Elliptic Equations

2008
Abstract In this chapter we are concerned with a class of singular solutions for logistictype equations. We focus on positive solutions with blow-up boundary behavior and we formulate several sufficient conditions for the existence of such solutions.
Marius Ghergu, Vicenţiu D Rădulescu
openaire   +1 more source

Blow-Up Solutions of Modified Schrödinger Maps

Communications in Partial Differential Equations, 2008
We study blow-up solutions of modified Schrodinger maps. We observe the pseudo-conformal invariance by which explicit blow-up solutions can be constructed.
openaire   +1 more source

Structure of positive boundary blow-up solutions

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2004
The structure of positive boundary blow-up solutions to semilinear problems of the form −Δu = λf(u) in Ω, u = ∞ on ∂Ω, Ω ⊂ RN a bounded smooth domain, is studied for a class of nonlinearities f ∈ C1 ([0, ∞)\{z2}) satisfying f (0) = f(z1) = f (z2) = 0 with 0 < z1 < z2, f < 0 in (0, z1)∪(z2, ∞), f > 0 in (z1, z2).
openaire   +2 more sources

Impulsive quenching and blow-up of solutions

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author gives a review of the results obtained in the recent years on the quenching phenomena and blow-up of solutions of impulsive PDE. The paper consists of three sections dealing with impulsive parabolic quenching, impulsive hyperbolic quenching and impulsive parabolic blow-up, respectively.
openaire   +2 more sources

Boundedness vs. blow-up in a chemotaxis system

Journal of Differential Equations, 2005
Dirk Horstmann
exaly  

Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations

Journal of Functional Analysis, 2013
Runzhang Xu
exaly  

On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics

Journal of Differential Equations, 2014
Dongho Chae, Jihoon Lee
exaly  

Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity

Journal of Mathematical Analysis and Applications, 2015
Gongwei Liu
exaly  

Type II blow-up solutions

2015
openaire   +1 more source

Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation

Communications in Mathematical Physics, 2006
Zhaoyang Yin
exaly