Supercritical Moser-Trudinger inequalities and related elliptic problems

DOI10.1007/S00526-020-1705-YOpenAlexW3102261038MaRDI QIDQ1984776

Nguyen Van Hoang, Quoc-Anh Ngô

Publication date: 7 April 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01877

zbMATH Keywords

Sobolev spaces of radially symmetric functions, optimal function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Inequalities involving derivatives and differential and integral operators (26D10) Quasilinear elliptic equations with (p)-Laplacian (35J92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (8)

Existence of solution for elliptic equations with supercritical Trudinger–Moser growth ⋮ On the planar Kirchhoff-type problem involving supercritical exponential growth ⋮ Critical and supercritical Adams' inequalities with logarithmic weights ⋮ A class of Schrödinger elliptic equations involving supercritical exponential growth ⋮ Singular supercritical Trudinger-Moser inequalities and the existence of extremals ⋮ Unnamed Item ⋮ A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems ⋮ A class of supercritical Sobolev type inequalities with logarithm and related elliptic equations

Cites Work

• Unnamed Item
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• Unnamed Item
• Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
• On supercritical Sobolev type inequalities and related elliptic equations
• A sharp form of Moser-Trudinger inequality in high dimension
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Non-existence of extremals for the Adimurthi-Druet inequality
• Nodal solutions for a supercritical semilinear problem with variable exponent
• Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
• On Trudinger-Moser type inequalities with logarithmic weights
• A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems
• Trudinger-Moser type inequalities with logarithmic weights in dimension \(N\)
• Hardy-Sobolev type inequality and supercritical extremal problem
• Existence for a \(k\)-Hessian equation involving supercritical growth
• Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On an inequality by N. Trudinger and J. Moser and related elliptic equations
• Extremal functions for Moser’s inequality

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