Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus
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Publication:629849
DOI10.1007/s00526-010-0341-3zbMath1209.35043OpenAlexW2048103840MaRDI QIDQ629849
Filomena Pacella, P. N. Srikanth, Massimo Grossi, Francesca Gladiali
Publication date: 10 March 2011
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-010-0341-3
General topics in linear spectral theory for PDEs (35P05) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
- Asymptotically radial solutions in expanding annular domains
- Uniqueness of radially symmetric positive solutions for \(- \Delta u+u=u^p\) in an annulus
- Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions
- Nonlinear elliptic equations on expanding symmetric domains
- Existence of many nonequivalent nonradial positive solutions of semilinear elliptic equations on three-dimensional annuli
- Uniqueness of positive radial solutions of the Dirichlet problems \(-\Delta u=u^ p\pm u^ q\) in an annulus
- Symmetry results for perturbed problems and related questions
- Real analyticity and non-degeneracy
- Perturbation theory for linear operators.
- Existence of many positive solutions of semilinear equations on annulus
- Uniqueness of positive radial solutions for \(\Delta u-u+u^p=0\) on an annulus.
- Asymptotic behavior of positive solutions to semilinear elliptic equations on expanding annuli
- Asymptotic behaviour of the Kazdan-Warner solution in the annulus
- The fixed point index for local condensing maps
- Bifurcation and symmetry-breaking
- Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
- Existence of Positive Nonradial Solutions for Nonlinear Elliptic Equations in Annular Domains
- Symmetry breaking for a class of semilinear elliptic problems
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