New sign-changing solutions for the 2D Lane-Emden problem with large exponents

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

Asymptotic analysis and sign-changing bubble towers for Lane-Emden problems
Asymptotic profile of positive solutions of Lane-Emden problems in dimension two
\(L^{\infty}\)-norm and energy quantization for the planar Lane-Emden problem with large exponent
\(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations
Nonexistence of multi-bubble solutions to some elliptic equations on convex domains
Uniform a priori estimates for positive solutions of the Lane-Emden equation in the plane
Sobolev norms of radially symmetric oscillatory solutions for superlinear elliptic equations
Lane-Emden problems: asymptotic behavior of low energy nodal solutions
Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two
Sharp asymptotic behavior of radial solutions of some planar semilinear elliptic problems
Sharp quantization for Lane-Emden problems in dimension two
The Morse property for functions of Kirchhoff-Routh path type
Multiple blow-up phenomena for the sinh-Poisson equation
Non degeneracy of critical points of the Robin function with respect to deformations of the domain
Lane Emden problems with large exponents and singular Liouville equations
Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent
Erratum to: ``\(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations
Nondegeneracy of entire solutions of a singular Liouvillle equation
On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity
On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity
Asymptotic Estimates and Qualitative Properties of an Elliptic Problem in Dimension Two
Single-point condensation and least-energy solutions
The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory

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