New solutions for Trudinger-Moser critical equations in \(\mathbb R^2\)
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Publication:1048171
DOI10.1016/j.jfa.2009.06.018zbMath1191.35138OpenAlexW1984087026WikidataQ59310971 ScholiaQ59310971MaRDI QIDQ1048171
Monica Musso, Bernhard Ruf, Manuel A. del Pino
Publication date: 11 January 2010
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2009.06.018
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
- On a variational problem with lack of compactness: The topological effect of the critical points at infinity
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Construction of singular limits for a semilinear elliptic equation in dimension 2
- Failure of Palais-Smale condition and blow-up analysis for the critical exponent problem in \(\mathbb{R}^2\)
- Global compactness properties of semilinear elliptic equations with critical exponential growth
- Positive solutions of critical semilinear elliptic equations on non-contractible planar domains
- On the existence of blowing-up solutions for a mean field equation
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- Singular limits in Liouville-type equations
- Multibumps analysis in dimension 2: quantification of blow-up levels
- Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
- Phenomena of critical exponent in ℝ2
- Existence and non‐existence of radial solutions for elliptic equations with critical exponent in ℝ2
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