A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space
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Publication:2336080
DOI10.12775/TMNA.2019.027zbMath1429.35008OpenAlexW2956693383MaRDI QIDQ2336080
Francisco S. B. Albuquerque, Sami Aouaoui
Publication date: 18 November 2019
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.tmna/1563242553
Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Quasilinear elliptic equations with (p)-Laplacian (35J92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Related Items (10)
Nonlinear Schrödinger equations involving exponential critical growth with unbounded or vanishing potentials ⋮ On some elliptic equation in the whole Euclidean space \(\mathbb{R}^2\) with nonlinearities having new exponential growth condition ⋮ New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space \(\mathbb{R}^N\) and applications ⋮ Existence of solutions for a nonhomogeneous Kirchhoff-Schrödinger type equation in \(\mathbb{R}^2\) involving unbounded or decaying potentials ⋮ On a weighted Adachi-Tanaka type Trudinger-Moser inequality in nonradial Sobolev spaces ⋮ A new Trudinger-Moser type inequality and an application to some elliptic equation with doubly exponential nonlinearity in the whole space \(\mathbb{R}^2 \) ⋮ A new singular Trudinger-Moser type inequality with logarithmic weights and applications ⋮ Ground state solutions for a nonlocal equation in \(\mathbb{R}^2\) involving vanishing potentials and exponential critical growth ⋮ Singular weighted sharp Trudinger-Moser inequalities defined on \(\mathbb{R}^N\) and applications to elliptic nonlinear equations ⋮ On a quasilinear logarithmic \(N\)-dimensional equation involving exponential growth
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