Positive solutions of critical semilinear elliptic equations on non-contractible planar domains
From MaRDI portal
Publication:1592436
DOI10.1007/s100970000023zbMath0982.35041OpenAlexW1986920646MaRDI QIDQ1592436
Publication date: 8 April 2002
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s100970000023
Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (49)
Quantization for an evolution equation with critical exponential growth on a closed Riemann surface ⋮ EXTREMAL FUNCTIONS FOR A SHARP MOSER–TRUDINGER INEQUALITY ⋮ A sharp form of Moser-Trudinger inequality in high dimension ⋮ Trudinger–Moser inequality on the whole plane and extremal functions ⋮ A sharp Trudinger-Moser type inequality in $\mathbb {R}^2$ ⋮ Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2 ⋮ Extremal functions for singular Moser-Trudinger embeddings ⋮ Improved Moser-Trudinger inequality for functions with mean value zero in \(\mathbb{R}^n\) and its extremal functions ⋮ Willmore minmax surfaces and the cost of the sphere eversion ⋮ Maximization problem on Trudinger-Moser inequality involving Lebesgue norm ⋮ Moser--Trudinger inequality for functions with mean value zero ⋮ The energy identity for a sequence of Yang-Mills \(\alpha \)-connections ⋮ New solutions for critical Neumann problems in \(\mathbb{R}^{2}\) ⋮ ``Bubbling and topological degeneration in the calculus of variations ⋮ A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space $\mathbb{R}^n$ ⋮ Effect of lower order perturbation on maximization problem associated with Trudinger-Moser inequality ⋮ An improved Trudinger-Moser inequality involving \(N\)-Finsler-Laplacian and \(L^p\) norm ⋮ Extremal sections for a Trudinger-Moser functional on vector bundle over a closed Riemann surface ⋮ A sharp Moser-Trudinger type inequality involving \(L^p\) norm in \(\mathbb{R}^n\) with degenerate potential ⋮ Anisotropic Moser-Trudinger inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\) ⋮ Beyond the Trudinger-Moser supremum ⋮ Remark on Gauss curvature equations on punctured disk ⋮ On solution sequences of the singular Liouville equations with an integral constraint ⋮ Multi-bump analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points ⋮ Sharp weighted Trudinger-Moser inequalities with the \(L^n\) norm in the entire space \(\mathbb{R}^n\) and existence of their extremal functions ⋮ Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation ⋮ Moser-Trudinger inequality involving the anisotropic Dirichlet norm \((\int_\Omega F^N(\nabla u) d x)^{\frac{1}{N}}\) on \(W_0^{1, N}(\Omega)\) ⋮ Concentration-compactness principle and extremal functions for a sharp Trudinger-Moser inequality ⋮ An improved singular Trudinger-Moser inequality in \(\mathbb{R}^N\) and its extremal functions ⋮ A viscosity method in the min-max theory of minimal surfaces ⋮ Extremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space ⋮ Blow-up analysis concerning singular Trudinger-Moser inequalities in dimension two ⋮ Bubbling solutions for an exponential nonlinearity in \(\mathbb{R}^2\) ⋮ Variational methods in geometry ⋮ Energy identity for approximations of harmonic maps from surfaces ⋮ A sharp form of the Moser-Trudinger inequality on a compact Riemannian surface ⋮ A Trudinger-Moser inequality of Adimurthi-Druet type involving higher order eigenvalues ⋮ A weighted form of Moser-Trudinger inequality on Riemannian surface ⋮ Bubbling solutions for Moser-Trudinger type equations on compact Riemann surfaces ⋮ On the anisotropic Moser-Trudinger inequality for unbounded domains in \(\mathbb{R}^n\) ⋮ The heat flow with a critical exponential nonlinearity ⋮ Anisotropic Moser-Trudinger inequality involving \(L^n\) norm ⋮ A modified singular Trudinger-Moser inequality ⋮ A Viscosity method for the min-max construction of closed geodesics ⋮ Extremal functions for the modified Trudinger-Moser inequalities in two dimensions ⋮ New solutions for Trudinger-Moser critical equations in \(\mathbb R^2\) ⋮ A sharp inequality of Trudinger-Moser type and extremal functions in \(H^{1, n}(\mathbb{R}^n)\) ⋮ On the Morse index of critical points in the viscosity method ⋮ An improved Hardy-Trudinger-Moser inequality
This page was built for publication: Positive solutions of critical semilinear elliptic equations on non-contractible planar domains
