Blow up of solutions of semilinear heat equations in non radial domains of $\mathbb{R}^2$-Reference-Cited by-同舟云学术

Blow up of solutions of semilinear heat equations in non radial domains of $\mathbb{R}^2$

Published:2015 Issue:3 Volume:35 Page:891-907
ISSN:1553-5231
Container-title:Discrete & Continuous Dynamical Systems - A
language:en
Short-container-title:

Author:

De Marchis Francesca, ,Ianni Isabella,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference11 articles.

1. Asymptotic estimates for a two dimensional problem with polynomial nonlinearity,;Adimurthi;Proc. Amer. Math. Soc.,2004

2. Sign-changing stationary solutions and blow up for the nonlinear heat equation in a ball,;T. Cazenave;Math Ann.,2009

3. Sign changing solutions of Lane Emden problems with interior nodal line and semilinear heat equations,;F. De Marchis;Journal of Differential Equations,2013

4. Asymptotic analysis and sign changing bubble towers for Lane-Emden problems,;F. De Marchis;accepted for publication in Journal of the European Mathematical Society

5. Sign-changing stationary solutions and blow up for the nonlinear heat equation in dimension two,;F. Dickstein;Journal of Evolution Equation,2014

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Morse index formula for radial solutions of Lane–Emden problems;Advances in Mathematics;2017-12
2. Sign-changing stationary solutions and blowup for the two power nonlinear heat equation in a ball;Journal of Mathematical Analysis and Applications;2017-10
3. Exact Morse index computation for nodal radial solutions of Lane–Emden problems;Mathematische Annalen;2016-02-19
4. Blow-up for sign-changing solutions of the critical heat equation in domains with a small hole;Communications in Contemporary Mathematics;2016-01-29
5. Asymptotic analysis and sign-changing bubble towers for Lane–Emden problems;Journal of the European Mathematical Society;2015