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A relation between the domain topology and the number of minimal nodal solutions for a quasilinear elliptic problem
(Pergamon-elsevier Science LtdOxfordInglaterra, 2005)
Multiplicity of nodal solutions for a critical quasilinear equation with symmetry
(Pergamon-elsevier Science LtdOxfordInglaterra, 2005)
Nodal bubble-tower solutions to radial elliptic problems near criticality
(SOUTHWEST MISSOURI STATE UNIVERSITY, 2006)
On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity
(WILEY, 2007)
We study the existence of nodal solutions to the boundary value problem -Delta u = \u\(p-1)u in a bounded, smooth domain Omega in R-2, with homogeneous Dirichlet boundary condition, when p is a large exponent. We prove ...
Sign changing solutions to a Bahri-Coron's problem in pierced domains
(AMER INST MATHEMATICAL SCIENCES-AIMS, 2008)
We consider the problem
Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains
(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2006)
We consider the problem Delta u + \u\(4/n-2) u = 0 in Omega(epsilon), u = 0 on partial derivative Omega(epsilon), where Omega(epsilon) := Omega \ B (0, epsilon) and Omega is a bounded smooth domain in R(N), which contains ...
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. ...