Bifurcation theory for Fredholm operators
From MaRDI portal
Publication:6564437
DOI10.1016/j.jde.2024.05.040MaRDI QIDQ6564437
Juan Carlos Sampedro, J. López-Gómez
Publication date: 1 July 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
unilateral bifurcationquasilinear problemsglobal bifurcation theorygeneralized algebraic multiplicityFitzpatrick-Pejsachowicz-Rabier degree1-D boundary value problems
Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11) Spectral theory; eigenvalue problems on manifolds (58C40) Operator theory (47-XX) Quasilinear elliptic equations with mean curvature operator (35J93)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algebraic multiplicity of eigenvalues of linear operators
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Optimal multiplicity in local bifurcation theory. I: Generalized generic eigenvalues
- Optimal multiplicity in local bifurcation theory. II: General case
- On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
- Degenerate bifurcation at simple eigenvalues and stability of bifurcating solutions
- Geometric theory of semilinear parabolic equations
- A priori bounds and multiple solutions for superlinear indefinite elliptic problems
- Degree theory for \(C^1\) Fredholm mappings of index 0
- Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings
- Bounded components of positive solutions of abstract fixed point equations: Mushrooms, loops and isolas
- Counting solutions of nonlinear abstract equations
- Perturbation theory for linear operators.
- Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator
- New analytical and geometrical aspects of the algebraic multiplicity
- Nodal solutions of weighted indefinite problems
- Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier
- Algebraic multiplicity and topological degree for Fredholm operators
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Counting solutions in bifurcation problems
- The homotopy type of the unitary group of Hilbert space
- Generating an arbitrarily large number of isolas in a superlinear indefinite problem
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- On the uniqueness of the topological degree
- Spectral theory and nonlinear functional analysis
- A simple notion of orientability for Fredholm maps of index zero between Banach manifolds and degree theory.
- Global bifurcation for Fredholm operators
- BIFURCATION FROM SIMPLE EIGENVALUES AND EIGENVALUES OF GEOMETRIC MULTIPLICITY ONE
- Global Structure of the Solutions of Non-Linear Real Analytic Eigenvalue Problems
- Parity and Generalized Multiplicity
- Orientation and the Leray-Schauder theory for fully nonlinear elliptic boundary value problems
- A Generalization of Multiplicity and the Problem of Bifurcation
- Bifurcation theory for Fredholm operators
- ON THE UNIQUENESS OF THE ALGEBRAIC MULTIPLICITY
- Linear Second Order Elliptic Operators
- An Infinite Dimensional Version of Sard's Theorem
- Bifurcation Theory for Analytic Operators
- Hausdorff Conullity of Critical Images of Fredholm Maps
- Counting Zeros of C 1 Fredholm Maps of Index 1
- The measure of the critical values of differentiable maps
- Über Abbildung von Mannigfaltigkeiten.
- Topologie et équations fonctionnelles.
- On the concept of orientability for Fredholm maps between real Banach manifolds
- Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials
Related Items (1)
This page was built for publication: Bifurcation theory for Fredholm operators
