Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations
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Publication:4601192
DOI10.1137/16M1107358zbMath1381.37023OpenAlexW2763330744MaRDI QIDQ4601192
Chunqiu Li, Zhijun Zhang, De-Sheng Li
Publication date: 12 January 2018
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1107358
Nonlinear parabolic equations (35K55) Bifurcation theory for ordinary differential equations (34C23) Index theory for dynamical systems, Morse-Conley indices (37B30) Bifurcations in context of PDEs (35B32)
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Cites Work
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- Existence and multiplicity of nontrivial solutions for semilinear elliptic Dirichlet problems across resonance
- Bifurcation from infinity and multiple solutions for an elliptic system
- On time-duality of the Conley index
- Multiple solutions for nearly resonant nonlinear Dirichlet problems
- Equilibria and global dynamics of a problem with bifurcation from infinity
- The homotopy index and partial differential equations
- Geometric theory of semilinear parabolic equations
- On bifurcation from infinity for potential operators
- Convex analysis and measurable multifunctions
- A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential
- Landesman-Lazer type problems at an eigenvalue of odd multiplicity
- Bifurcating continua in infinite dimensional dynamical systems and applications to differential equations
- On bifurcation from infinity
- Bifurcation from infinity for an asymptotically linear Schrödinger equation
- Global topological properties of the Hopf bifurcation
- A detailed analysis on local bifurcation from infinity for nonlinear elliptic problems
- Semilinear elliptic problems near resonance with a nonprincipal eigenvalue
- Dynamic bifurcation of nonlinear evolution equations
- Generic properties of nonlinear boundary value problems
- Poincare-Lefschetz Duality for the Homology Conley Index
- Bifurcation from infinity and multiple solutions for some Dirichlet problems with unbounded nonlinearities
- 8.—Bifurcation and Asymptotic Bifurcation for Non-compact Nonsymmetric Gradient Operators
- 16.—A Remark on a Paper by J. F. Toland and some Applications to Unilateral Problems
- A variational approach to multiplicity in elliptic problems near resonance
- On bifurcation from infinity for S1-equivariant potential operators
- Shape and Morse theory of attractors
- The Conley index and bifurcation points
- A global continuation theorem and bifurcation from infinity for infinite-dimensional dynamical systems
- Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity
- Isolated Invariant Sets and Isolating Blocks
- Nonlinear eigenvalue problems with the parameter near resonance
- Multiplicity results for semilinear elliptic equations with resonance at higher eigenvalues
