Concentration-compactness principle for an inequality by D.~ Adams
From MaRDI portal
Publication:406679
DOI10.1007/s00526-013-0671-zzbMath1302.35173OpenAlexW2077072554MaRDI QIDQ406679
Abiel Costa Macedo, João Marcos Bezerra do Ó
Publication date: 9 September 2014
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-013-0671-z
Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Variational methods for higher-order elliptic equations (35J35)
Related Items (6)
Adams inequality with exact growth in the hyperbolic space ℍ4 and Lions lemma ⋮ Estimate for concentration level of the Adams functional and extremals for Adams-type inequality ⋮ Concentration-compactness principle for the sharp Adams inequalities in bounded domains and whole space \(\mathbb{R}^n\) ⋮ Unnamed Item ⋮ Hamiltonian elliptic systems with critical polynomial-exponential growth ⋮ Sharp Adams-Moser-Trudinger type inequalities in the hyperbolic space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\)
- On a singular and nonhomogeneous \(N\)-Laplacian equation involving critical growth
- Elliptic equations and systems with critical Trudinger-Moser nonlinearities
- Existence and nonexistence of maximizers for variational problems associated with Trudinger--Moser type inequalities in \({\mathbb{R}^N}\)
- A sharp form of Moser-Trudinger inequality in high dimension
- The concentration-compactness principle in the calculus of variations. The limit case. I
- A nonhomogeneous elliptic problem involving critical growth in dimension two
- On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
- Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
- A sharp inequality of J. Moser for higher order derivatives
- Extremal functions for the Trudinger-Moser inequality in 2 dimensions
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Existence of solutions for a class of semilinear polyharmonic equations with critical exponential growth
- \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
- Semilinear Dirichlet problems for the \(N\)-Laplacian in \(\mathbb{R}^ N\) with nonlinearities in the critical growth range
- Adams' inequality and limiting Sobolev embeddings into Zygmund spaces
- Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs
- Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions
- Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- On an inequality by N. Trudinger and J. Moser and related elliptic equations
- Extremal functions for Moser’s inequality
- Sharp Adams-type inequalities in ℝⁿ
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
This page was built for publication: Concentration-compactness principle for an inequality by D.~ Adams
