Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli

Boundary value problems for second-order elliptic equations (35J25) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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Exact Morse index computation for nodal radial solutions of Lane-Emden problems
Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus
Asymptotically radial solutions in expanding annular domains
Nonlinear elliptic problems with critical exponent in shrinking annuli
Global solution branches of two point boundary value problems
Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
A Morse index formula for radial solutions of Lane-Emden problems
Asymptotic behavior of positive solutions to semilinear elliptic equations on expanding annuli
Bifurcation and symmetry breaking for the Henon equation
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's
Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem
The Hénon problem with large exponent in the disc
Energy and Morse index of solutions of Yamabe type problems on thin annuli
Uniqueness of positive radial solutions of the Brezis-Nirenberg problem on thin annular domains on \(\mathbb{S}^n\) and symmetry breaking bifurcations
Morse index of radial nodal solutions of Hénon type equations in dimension two
Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane
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
On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II
Symmetry breaking for a class of semilinear elliptic problems

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