Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium
type: Item
instance of: scholarly article
title: Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium
zbMATH Open document ID: 1458.35227
author: Juliana Fernandes
author: L. A. Maia
published in: Discrete and Continuous Dynamical Systems
publication date: 2021-02-24T00:00:00Z
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35B51
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 7314910
zbMATH Keywords: infinite time blow-up
zbMATH Keywords: Nehari manifold
MaRDI profile type: Publication
full work available at URL: dcds.2020318
OpenAlex ID: W3080801870
cites work: Dual variational methods in critical point theory and applications
cites work: Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds
cites work: Q4003101
cites work: Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
cites work: Introduction to non-Kerr Law Optical Solitons
cites work: Attractors for infinite-dimensional non-autonomous dynamical systems
cites work: Q3876715
cites work: Structural stability for time-periodic one-dimensional parabolic equations
cites work: Q4026157
cites work: A positive bound state for an asymptotically linear or superlinear Schrödinger equation
cites work: Variational elliptic problems which are nonquadratic at infinity
cites work: The effect of domain shape on the number of positive solutions of certain nonlinear equations
cites work: Transversality of stable and Nehari manifolds for a semilinear heat equation
cites work: Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
cites work: Q5187597
cites work: A uniqueness result for a semilinear elliptic equation in symmetric domains
cites work: Geometric theory of semilinear parabolic equations
cites work: Q3747373
cites work: Q4007829
cites work: Periodic nonlinear Schrödinger equation with application to photonic crystals
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: A permutation related to non-compact global attractors for slowly non-dissipative systems
cites work: Q4944753
cites work: Q4458828
cites work: Q5182003
cites work: Semilinear evolution equations in Banach spaces
DOI: 10.3934/DCDS.2020318
Recommended article: Blow-up of solutions of semilinear parabolic equations
Recommended article: Q4278825
Recommended article: Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
Recommended article: Blow-up of solutions of semilinear parabolic differential equations
Recommended article: Q4878883
Recommended article: Q4690753
Recommended article: Q4288577
Recommended article: The blow-up problem for a semilinear parabolic equation with a potential
Recommended article: Q3356731
Recommended article: Q4391742
description: scientific article; zbMATH DE number 7314910