On Trudinger-Moser type inequalities with logarithmic weights

DOI10.1016/j.jde.2014.11.019zbMath1334.46026OpenAlexW2037717608MaRDI QIDQ2255113

Marta Calanchi, Bernhard Ruf

Publication date: 6 February 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.11.019

zbMATH Keywords

critical exponentsTrudinger-Moser type inequalitiesradial Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (30)

Extremal function for Moser-Trudinger type inequality with logarithmic weight ⋮ Existence of positive solutions to weighted linear elliptic equations under double exponential nonlinearity growth ⋮ Existence of solution for elliptic equations with supercritical Trudinger–Moser growth ⋮ On some elliptic equation in the whole Euclidean space \(\mathbb{R}^2\) with nonlinearities having new exponential growth condition ⋮ Elliptic equations in dimension 2 with double exponential nonlinearities ⋮ Concentration-compactness principle for Trudinger-Moser inequalities with logarithmic weights and their applications ⋮ Ground state solutions for weighted \(N\)-Laplacian problem with exponential non linear growth ⋮ Existence of ground state solutions for weighted biharmonic problem involving non linear exponential growth ⋮ Critical and supercritical Adams' inequalities with logarithmic weights ⋮ Remarks on the fractional Moser-Trudinger inequality ⋮ Existence of signed and sign-changing solutions for weighted Kirchhoff problems with critical exponential growth ⋮ A log-weighted Moser inequality on the plane ⋮ A class of Schrödinger elliptic equations involving supercritical exponential growth ⋮ Sign-changing solutions for Kirchhoff weighted equations under double exponential nonlinearities growth ⋮ Nodal solutions for logarithmic weighted \(N\)-Laplacian problem with exponential nonlinearities ⋮ On eigenvalue problems involving the critical Hardy potential and Sobolev type inequalities with logarithmic weights in two dimensions ⋮ Ground state solution for a weighted elliptic problem under double exponential nonlinear growth ⋮ Unnamed Item ⋮ \(N\)-Laplacian problems with critical double exponential nonlinearities ⋮ Supercritical Moser-Trudinger inequalities and related elliptic problems ⋮ New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space \(\mathbb{R}^N\) and applications ⋮ Weighted Trudinger-Moser inequalities and associated Liouville type equations ⋮ A new Trudinger-Moser type inequality and an application to some elliptic equation with doubly exponential nonlinearity in the whole space \(\mathbb{R}^2 \) ⋮ Schrödinger-Newton equations in dimension two via a Pohozaev-Trudinger log-weighted inequality ⋮ A new singular Trudinger-Moser type inequality with logarithmic weights and applications ⋮ Singular weighted sharp Trudinger-Moser inequalities defined on \(\mathbb{R}^N\) and applications to elliptic nonlinear equations ⋮ Remarks on the Moser–Trudinger type inequality with logarithmic weights in dimension 𝑁 ⋮ Adams’ inequality with logarithmic weights in ℝ⁴ ⋮ Existence of solutions for some weighted mean field equations in dimension \(N\) ⋮ Trudinger-Moser type inequalities with logarithmic weights in dimension \(N\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On weighted critical imbeddings of Sobolev spaces
• On the existence and radial symmetry of maximizers for functionals with critical exponential growth in \(\mathbb R^2\).
• On the Hénon equation: asymptotic profile of ground states. I.
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• The asymptotic behaviour of the ground state solutions for Hénon equation.
• Embeddings of weighted Sobolev spaces in the borderline case
• On the Hénon equation: asymptotic profile of ground states. II
• Non radial positive solution for the Hénon equation with critical growth
• A singular Moser-Trudinger embedding and its applications
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
• Trudinger-Moser type inequalities for weighted Sobolev spaces involving fractional dimensions
• An Integral Inequality With Applications
• SYMMETRY BREAKING RESULTS FOR PROBLEMS WITH EXPONENTIAL GROWTH IN THE UNIT DISK
• Some Weighted Inequalities of Trudinger–Moser Type
• Non-radial Maximizers For Functionals With Exponential Non-linearity in ℝ²

This page was built for publication: On Trudinger-Moser type inequalities with logarithmic weights