On singular Trudinger-Moser type inequalities for unbounded domains and their best exponents
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Publication:1950470
DOI10.1007/s11118-012-9308-7zbMath1279.46026OpenAlexW2045710417MaRDI QIDQ1950470
João Marcos Bezerra do Ó, Manassés de Souza
Publication date: 13 May 2013
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-012-9308-7
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (13)
A Singular Moser-Trudinger Inequality on Metric Measure Space ⋮ Existence of a ground state solution for a class of singular elliptic equation without the A-R condition ⋮ A log-weighted Moser inequality on the plane ⋮ On a nonhomogeneous and singular quasilinear equation involving critical growth in \(\mathbb R^2\) ⋮ Existence of a ground state solution for a class of singular elliptic problem in \(\mathbb{R}^{N}\) ⋮ Kirchhoff–Schrödinger equations in ℝ2 with critical exponential growth and indefinite potential ⋮ Singular Moser-Trudinger inequality with the exact growth condition on hyperbolic space ⋮ Critical points for a functional involving critical growth of Trudinger-Moser type ⋮ On a weighted Adachi-Tanaka type Trudinger-Moser inequality in nonradial Sobolev spaces ⋮ Ground state solution and multiple solutions to elliptic equations with exponential growth and singular term ⋮ Scattering in the weighted \( L^2 \)-space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity ⋮ Energy critical Schrödinger equation with weighted exponential nonlinearity: Local and global well-posedness ⋮ The ground state solutions for Kirchhoff-Schrödinger type equations with singular exponential nonlinearities in \(\mathbb{R}^N\)
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