Concentration-compactness principle for Trudinger-Moser inequalities with logarithmic weights and their applications
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Publication:2183448
DOI10.1016/j.na.2020.111845zbMath1440.35123OpenAlexW3013571605MaRDI QIDQ2183448
Publication date: 27 May 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2020.111845
weighted Sobolev spacesconcentration-compactness principleTrudinger-Moser inequalityground state solutions
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)
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Ground state solutions for weighted \(N\)-Laplacian problem with exponential non linear growth ⋮ Non local weighted fourth order equation in dimension \(4\) with non-linear exponential growth ⋮ Existence solutions for a weighted biharmonic equation with critical exponential growth ⋮ Weighted Elliptic Equations in Dimension N with Subcritical and Critical Double Exponential Nonlinearities ⋮ Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space ⋮ Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity ⋮ Weighted fourth order equation of Kirchhoff type in dimension 4 with non-linear exponential growth ⋮ Nodal solutions for logarithmic weighted \(N\)-Laplacian problem with exponential nonlinearities ⋮ Ground state solution for a weighted elliptic problem under double exponential nonlinear growth ⋮ New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space \(\mathbb{R}^N\) and applications ⋮ Singular weighted sharp Trudinger-Moser inequalities defined on \(\mathbb{R}^N\) and applications to elliptic nonlinear equations
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