A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems
type: Item
instance of: scholarly article
title: A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems
zbMATH Open document ID: 1143.37049
DOI: 10.1090/S0002-9947-08-04404-8
author: Nils Ackermann
author: Pavol Quittner
author: Thomas J. Bartsch
author: P. Kaplický
published in: Transactions of the American Mathematical Society
publication date: 2008-06-27T00:00:00Z
Mathematics Subject Classification ID: 37L05
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 37L10
Mathematics Subject Classification ID: 47H20
zbMATH DE Number: 5294129
zbMATH Keywords: indefinite superlinear parabolic problems
zbMATH Keywords: a priori bounds
zbMATH Keywords: existence results for equilibria
zbMATH Keywords: connecting orbits
MaRDI profile type: Publication
cites work: Superstable manifolds of semilinear parabolic problems
cites work: Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking
cites work: On semilinear elliptic equations with indefinite nonlinearities
cites work: Q4327845
cites work: A priori bounds and multiple solutions for superlinear indefinite elliptic problems
cites work: Optimal Control Problems with Final Observation Governed by Explosive Parabolic Equations
cites work: Parabolic problems with nonlinear boundary conditions and critical nonlinearities
cites work: Critical point theory on partially ordered Hilbert spaces
cites work: On the Morse indices of sign changing solutions of nonlinear elliptic problems
cites work: On the existence of sign changing solutions for semilinear Dirichlet problems
cites work: A note on additional properties of sign changing solutions to superlinear elliptic equations
cites work: Q3828771
cites work: Superlinear indefinite elliptic problems and nonlinear Liouville theorems
cites work: Variational methods for indefinite superlinear homogeneous elliptic problems
cites work: A nonlinear heat equation with singular initial data
cites work: Solutions globales d'equations de la chaleur semi lineaires.
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Dirichlet problem with indefinite nonlinearities
cites work: Indefinite elliptic problems in a domain
cites work: The generalized Conley index and multiple solutions of semilinear elliptic problems
cites work: Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations
cites work: A priori bounds for positive solutions of nonlinear elliptic equations
cites work: A bound for global solutions of semilinear heat equations
cites work: Blow up rate for semilinear heat equations with subcritical nonlinearity
cites work: Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth
cites work: A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain-Pass Theorem
cites work: Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
cites work: Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
cites work: Applications of local linking to critical point theory
cites work: Complete and energy blow-up in indefinite superlinear parabolic problems
cites work: On a class of semilinear elliptic equations with potential changing sign
cites work: Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
cites work: Q3334299
cites work: Critical point theory and Hamiltonian systems
cites work: On the asymptotic behavior of solutions of certain quasilinear parabolic equations
cites work: Homotopy theory of infinite dimensional manifolds
cites work: Q4880688
cites work: Q4944753
cites work: Q4458828
cites work: Multiple equilibria, periodic solutions and a priori bounds for solutions in superlinear parabolic problems
cites work: Superlinear indefinite elliptic problems and Pohozyaev type identities
cites work: The homotopy index and partial differential equations
cites work: Semilinear evolution equations in Banach spaces
cites work: Minimax theorems
full work available at URL: s0002-9947-08-04404-8
OpenAlex ID: W2045935051
description: scientific article