Trudinger-Moser inequalities involving fast growth and weights with strong vanishing at zero

DOI10.1090/proc/13114zbMath1341.35080OpenAlexW2329728722MaRDI QIDQ2809192

Ederson Moreira dos Santos, Djairo Guedes de Figueiredo, João Marcos Bezerra do Ó

Publication date: 27 May 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13114

zbMATH Keywords

Trudinger-Moser inequalityHénon type equationcritical growth problem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order elliptic equations (35J15) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (6)

A Trudinger-Moser inequality for a conical metric in the unit ball ⋮ Extremals for a Trudinger-Moser inequality with a vanishing weight in the unit disk ⋮ On extremals for the Trudinger-Moser inequality with vanishing weight in the N-dimensional unit ball ⋮ Trudinger-Moser type inequalities with vanishing weights in the unit ball ⋮ Weighted Trudinger-Moser inequalities and associated Liouville type equations ⋮ Existence of solutions for some weighted mean field equations in dimension \(N\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sobolev spaces of symmetric functions and applications
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Symmetry of extremal functions in Moser-Trudinger inequalities and a Hénon type problem in dimension two
• Functional analysis, Sobolev spaces and partial differential equations
• Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
• Extremal functions for the Trudinger-Moser inequality in 2 dimensions
• Cocompactness and minimizers for inequalities of Hardy-Sobolev type involving \(N\)-Laplacian
• The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues
• On an inequality by N. Trudinger and J. Moser and related elliptic equations
• Non-radial Maximizers For Functionals With Exponential Non-linearity in ℝ²

This page was built for publication: Trudinger-Moser inequalities involving fast growth and weights with strong vanishing at zero