Sharp quantization for Lane-Emden problems in dimension two

DOI10.2140/pjm.2019.300.491zbMath1437.35398arXiv1802.01931OpenAlexW2786104327WikidataQ127405921 ScholiaQ127405921MaRDI QIDQ2305151

Pierre-Damien Thizy

Publication date: 10 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01931

zbMATH Keywords

positive solutionsLane-Emden equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (5)

Uniform a priori estimates for positive solutions of the Lane-Emden system in the plane ⋮ When does a perturbed Moser-Trudinger inequality admit an extremal? ⋮ Convergence for a planar elliptic problem with large exponent Neumann data ⋮ Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two ⋮ Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains

Cites Work

• Morse index and sign-changing bubble towers for Lane-Emden problems
• Asymptotic analysis and sign-changing bubble towers for Lane-Emden problems
• Asymptotic profile of positive solutions of Lane-Emden problems in dimension two
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Uniqueness of positive solutions of semilinear elliptic equations and related eigenvalue problems
• Symmetry and related properties via the maximum principle
• Classification of solutions of some nonlinear elliptic equations
• Uniform a priori estimates for positive solutions of the Lane-Emden equation in the plane
• Multibumps analysis in dimension 2: quantification of blow-up levels
• Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent
• On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
• Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity
• Single-point condensation and least-energy solutions

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