A new Trudinger-Moser type inequality and an application to some elliptic equation with doubly exponential nonlinearity in the whole space \(\mathbb{R}^2 \)
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Publication:2291682
DOI10.1007/s00013-019-01386-7zbMath1432.35007OpenAlexW2977395475WikidataQ115609531 ScholiaQ115609531MaRDI QIDQ2291682
Publication date: 31 January 2020
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-019-01386-7
Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Axially symmetric solutions to PDEs (35B07)
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Cites Work
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- Sharp constant and extremal function for weighted Trudinger-Moser type inequalities in \(\mathbb R^2\)
- On weighted critical imbeddings of Sobolev spaces
- Existence of solitary waves in higher dimensions
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
- On Trudinger-Moser type inequalities with logarithmic weights
- Nonlinear Schrödinger equation with unbounded or decaying radial potentials involving exponential critical growth in \(\mathbb R^2\)
- Dual variational methods in critical point theory and applications
- A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space
- Trudinger-Moser type inequalities with logarithmic weights in dimension \(N\)
- Elliptic equations in dimension 2 with double exponential nonlinearities
- A singular Moser-Trudinger embedding and its applications
- A Trudinger-Moser inequality in a weighted Sobolev space and applications
- On a class of singular Trudinger-Moser type inequalities and its applications
- Trudinger-Moser type inequalities for weighted Sobolev spaces involving fractional dimensions
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- Some Weighted Inequalities of Trudinger–Moser Type
- Non-radial Maximizers For Functionals With Exponential Non-linearity in ℝ2
