A quasi-linear elliptic equation with critical growth on compact Riemannian manifold without boundary
From MaRDI portal
Publication:708853
DOI10.1007/s10455-010-9218-0zbMath1201.58017OpenAlexW2140045768WikidataQ115384624 ScholiaQ115384624MaRDI QIDQ708853
Yun Yan Yang, João Marcos Bezerra do Ó
Publication date: 14 October 2010
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10455-010-9218-0
Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational principles in infinite-dimensional spaces (58E30) Elliptic equations on manifolds, general theory (58J05)
Related Items (18)
A sharp Trudinger-Moser type inequality in $\mathbb {R}^2$ ⋮ Trudinger-Moser type inequalities with a symmetric conical metric and a symmetric potential ⋮ A Trudinger-Moser inequality on a compact Riemannian surface involving Gaussian curvature ⋮ Some sharp inequalities related to Trudinger-Moser inequality ⋮ Estimate for concentration level of the Adams functional and extremals for Adams-type inequality ⋮ A class of semilinear elliptic equations on groups of polynomial growth ⋮ Existence of positive solutions to some nonlinear equations on locally finite graphs ⋮ On a class of nonhomogeneous elliptic equations on noncompact Riemannian manifolds ⋮ Exponential problem on a compact Riemannian manifold without boundary ⋮ Adams type inequalities and related elliptic partial differential equations in dimension four ⋮ New geometric aspects of Moser-Trudinger inequalities on Riemannian manifolds: the non-compact case ⋮ Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space ⋮ EXISTENCE OF GLOBAL SOLUTIONS TO SOME NONLINEAR EQUATIONS ON LOCALLY FINITE GRAPHS ⋮ On a class of nonhomogeneous elliptic equation on compact Riemannian manifold without boundary ⋮ Yamabe type equations on graphs ⋮ Infinitely many solutions to a class of \(p\)-Laplace equations ⋮ Blow-up analysis involving isothermal coordinates on the boundary of compact Riemann surface ⋮ A sharp inequality of Trudinger-Moser type and extremal functions in \(H^{1, n}(\mathbb{R}^n)\)
Cites Work
- A sharp inequality of J. Moser for higher order derivatives
- Sharp borderline Sobolev inequalities on compact Riemannian manifolds
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
- Dual variational methods in critical point theory and applications
- A class of Adams-Fontana type inequalities and related functionals on manifolds
- Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds
- Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds
- On a Class of Nonlinear Second-Order Differential Equations
- On an inequality by N. Trudinger and J. Moser and related elliptic equations
- EXTREMAL FUNCTIONS FOR MOSER–TRUDINGER INEQUALITIES ON 2-DIMENSIONAL COMPACT RIEMANNIAN MANIFOLDS WITH BOUNDARY
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A quasi-linear elliptic equation with critical growth on compact Riemannian manifold without boundary
