Global bifurcation results for semilinear elliptic equations on \(\mathbb{R}^N\): The Fredholm case
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Publication:1382702
DOI10.1006/jdeq.1997.3346zbMath0899.35009OpenAlexW2056567796MaRDI QIDQ1382702
Publication date: 17 November 1998
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1997.3346
global bifurcationprincipal eigenvaluedegree theoryPoincaré's inequalitybranch of positive solutions
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Degree theory for nonlinear operators (47H11) Bifurcations in context of PDEs (35B32)
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Cites Work
- Unnamed Item
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- Unnamed Item
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- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem
- On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
- Symmetry and related properties via the maximum principle
- A selection-migration model in population genetics
- An introduction to partial differential equations
- Sub and supersolutions for semilinear elliptic equations on all of \(\mathbb{R}^ n\)
- Uniqueness and nonuniqueness of positive solutions for a semilinear elliptic equation in \(\mathbb{R}^ n\)
- Principal eigenvalues for some quasilinear elliptic equations on \(\mathbb R^N\)
- Global bifurcation results for a semilinear elliptic equation on all of \(\mathbb{R}^ N\)
- Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
- Local behavior of solutions of quasi-linear equations
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Principal Eigenvalues for Problems with Indefinite Weight Function on R N
- L ∞ stability of an exponentially decreasing solution of the problem Δu+f(x, u)=0 inR n
- Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
- Principal Eigenvalues for Indefinite-Weight Elliptic Problems in R n
- Boundary-Value Problems for Ordinary Differential Equations on Infinite Intervals
- The existence of principal eigenvalues for problems with indefinite weight function on ℝk
- Equivalent Norms for Sobolev Spaces
- Bifurcation problems for the 𝑝-Laplacian in 𝑅ⁿ
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