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Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains
(TAYLOR & FRANCIS INC, 2010)
We consider the problem [image omitted] in epsilon, u=0 on epsilon, where epsilon: =\{B(a, epsilon) B(b, epsilon)}, with a bounded smooth domain in N, N epsilon 3, ab two points in , and epsilon is a positive small parameter. ...
Nodal bubble-tower solutions to radial elliptic problems near criticality
(SOUTHWEST MISSOURI STATE UNIVERSITY, 2006)
Tower of bubbles for almost critical problems in general domains
(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2010)
Sign changing tower of bubbles for an elliptic problem at the critical exponent in pierced non-symmetric domains
(TAYLOR & FRANCIS INC, 2010)
"Bubble-Tower" phenomena in a semilinear elliptic equation with mixed Sobolev growth
(PERGAMON-ELSEVIER SCIENCE LTD, 2008-03-01)
In this work we consider the following problem
[GRAPHICS]
with N/(N - 2) < p < p* = (N + 2)/(N - 2) < q, N >= 3.
We prove that if p is fixed, and q is close enough to the critical exponent p*, then there exists a ...
Tower of bubbles for almost critical problems in general domainsJOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2016)
Nodal bubble-tower solutions to radial elliptic problems near criticalityDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMSDISCRETE CONTIN DYN SYST
(SOUTHWEST MISSOURI STATE UNIVERSITY, 2017)
Bubble tower solutions for a supercritical elliptic problem in R-N
(SCUOLA NORMALE SUPERIORE, 2016)
We consider the problem {-Delta u + u = u(p) + lambda u(q) u > 0 in R-Nu(z) -> 0 as vertical bar z vertical bar -> infinity where p = p* + epsilon, with p* = N+2/N-2, while 1 < q < N+2/N-2 if N >= 4, and 3 < q < 5 if N = ...