Results 261 to 270 of about 106,796 (274)

Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents

Calculus of Variations and Partial Differential Equations, 1995
We formulate the concentration-compactness principle at infinity for both subcritical and critical case. We show some applications to the existence theory of semilinear elliptic equations involving critical and subcritical Sobolev exponents.
J. Chabrowski
openaire   +4 more sources

Concentration-compactness principles for Moser–Trudinger inequalities: new results and proofs [PDF]

Annali di Matematica Pura ed Applicata, 2011
We are concerned with the best exponent in Concentration-Compactness principles for the borderline case of the Sobolev inequality. We present a new approach, which both yields a rigorous proof of the relevant principle in the standard case when functions vanishing on the boundary are considered, and enables us to deal with functions with unrestricted ...
Robert Cerny, CIANCHI, ANDREA, Stanislav Hencl   +2 more
openaire   +2 more sources

THE CONCENTRATION-COMPACTNESS PRINCIPLE AND INVERSE POWER METHOD

Acta Mathematica Scientia, 1990
Abstract In this paper, we are concerned with the eigenvalue problem of a semilinear elliptic equation. We use concentration-compactness principle and inverse power method to find some conditions in order that the non-radial solutions may exist for an equation with variable coefficients.
Yi Ding, Xiaxi Ding
openaire   +2 more sources

Concentration compactness principle and quasilinear elliptic equations in Rⁿ

Communications in Partial Differential Equations, 1991
Marion Badiale, Citti Giovanna
openaire   +3 more sources

Concentration–compactness principle at infinity

, 1999

openalex   +2 more sources

The principle of concentration compactness in spaces and its application

Nonlinear Analysis: Theory, Methods & Applications, 2009
Abstract In this paper we establish a principle of concentration compactness in L p ( x ) spaces and apply it to obtain the existence of solutions for p ( x ) -Laplacian equations with critical growth.
openaire   +2 more sources

The concentration‐compactness principle and the asymptotic behavior for some degenerate parabolic equation

Asymptotic Analysis, 2003
In this paper we study the existence and asymptotic behavior of the global solutions of some degenerate parabolic equation with critical Sobolev exponent. In particular, we apply the concentration‐compactness principle of P.‐L.
Zhong Tan
openalex   +2 more sources

Concentration-compactness type principle for systems with critical terms in RN

Journal of Mathematical Analysis and Applications, 2023
L. Bonaldo, E. Hurtado, W. Neves
semanticscholar   +1 more source

Concentration compactness principle at infinity with partial symmetry and its application

Nonlinear Analysis: Theory, Methods & Applications, 2002
Michinori Ishiwata, Mitsuharu Ôtani
openaire   +2 more sources

An abstract version of the concentration compactness principle

2002
In this paper the authors prove an abstract version of the well-known concentration compactness principle in Hilbert space. As an application they consider a class of elliptic problems on unbounded domains.
Schindler, Ian, Tintarev, Cyril
openaire   +1 more source