Uniqueness, multiplicity and nondegeneracy of positive solutions to the Lane-Emden problem (Q6057755)

scientific article; zbMATH DE number 7755449

Language	Label	Description	Also known as
English	Uniqueness, multiplicity and nondegeneracy of positive solutions to the Lane-Emden problem	scientific article; zbMATH DE number 7755449

Statements

instance of

scholarly article

0 references

title

Uniqueness, multiplicity and nondegeneracy of positive solutions to the Lane-Emden problem (English)

0 references

0 references

0 references

0 references

Journal de Mathématiques Pures et Appliquées. Neuvième Série

0 references

publication date

26 October 2023

0 references

zbMATH Keywords

Lane-Emden equation

0 references

Dirichlet condition

0 references

uniqueness

0 references

multiplicity

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1016/j.matpur.2023.09.001

0 references

cites work

Emden-Fowler equations involving critical exponents

0 references

On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

0 references

On a variational problem with lack of compactness: The topological effect of the critical points at infinity

0 references

The Morse property for functions of Kirchhoff-Routh path type

0 references

Critical Points of the $N$-vortex Hamiltonian in Bounded Planar Domains and Steady State Solutions of the Incompressible Euler Equations

0 references

Q4735483

0 references

A note on the Sobolev inequality

0 references

Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains

0 references

Convexity of solutions of semilinear elliptic equations

0 references

The number of positive solutions to the Brezis-Nirenberg problem

0 references

On the strict concavity of the harmonic radius in dimension $N\geq 3$

0 references

Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces

0 references

Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents

0 references

Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle

0 references

The effect of domain shape on the number of positive solutions of certain nonlinear equations

0 references

Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains

0 references

A priori estimates and existence of positive solutions of semilinear elliptic equations

0 references

Singular limits in Liouville-type equations

0 references

New solutions for Trudinger-Moser critical equations in $\mathbb R^2$

0 references

Multi-bump analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points

0 references

On the existence of blowing-up solutions for a mean field equation

0 references

Uniqueness of positive solutions of a nonlinear elliptic equation involving the critical exponent

0 references

A uniqueness result for a semilinear elliptic equation in symmetric domains

0 references

On the nondegeneracy of the critical points of the Robin function in symmetric domains

0 references

Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two

0 references

Nonexistence of multi-bubble solutions to some elliptic equations on convex domains

0 references

Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent

0 references

Prescribing scalar curvature on $\mathbb{S}^ n$ and related problems. I

0 references

Uniqueness of least energy solutions to a semilinear elliptic equation in $\mathbb{R}^ 2$

0 references

On the mean field type bubbling solutions for Chern-Simons-Higgs equation

0 references

Non degeneracy of critical points of the Robin function with respect to deformations of the domain

0 references

Multispike solutions for a nonlinear elliptic problem involving critical Sobolev exponent

0 references

Superlinear Parabolic Problems

0 references

Proof of two conjectures of H. Brezis and L. A. Peletier

0 references

The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent

0 references

The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3

0 references

A global compactness result for elliptic boundary value problems involving limiting nonlinearities

0 references

Q4027445

0 references

Asymptotic behavior of least energy solutions to a semilinear Dirichlet problem near the critical exponent

0 references

Infinitely many solutions for the prescribed scalar curvature problem on $\mathbb S^N$

0 references

Identifiers

zbMATH Open document ID

1525.35132

0 references

DOI

10.1016/j.matpur.2023.09.001

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6057755