TY - JOUR
T1 - Concentration of solutions for some singularly perturbed mixed problems. Part I: existence results
JF - Arch. Ration. Mech. Anal. 196 (2010) 907-950
Y1 - 2010
A1 - Jesus Garcia Azorero
A1 - Andrea Malchiodi
A1 - Luigi Montoro
A1 - Ireneo Peral
AB - In this paper we study the asymptotic behavior of some solutions to a singularly perturbed problem with mixed Dirichlet and Neumann boundary conditions. We prove that, under suitable geometric conditions on the boundary of the domain, there exist solutions which approach the intersection of the Neumann and the Dirichlet parts as the singular perturbation parameter tends to zero.
UR - http://hdl.handle.net/1963/3406
U1 - 927
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Concentration of solutions for some singularly perturbed mixed problems: Asymptotics of minimal energy solutions
JF - Ann. Inst. H. Poincare Anal. Non Lineaire 27 (2010) 37-56
Y1 - 2010
A1 - Jesus Garcia Azorero
A1 - Andrea Malchiodi
A1 - Luigi Montoro
A1 - Ireneo Peral
AB - In this paper we carry on the study of asymptotic behavior of some solutions to a singularly perturbed problem with mixed Dirichlet and Neumann boundary conditions, started in the first paper. Here we are mainly interested in the analysis of the location and shape of least energy solutions when the singular perturbation parameter tends to zero. We show that in many cases they coincide with the new solutions produced in.
UR - http://hdl.handle.net/1963/3409
U1 - 926
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Elliptic variational problems in $ R\\\\sp N$ with critical growth
JF - J. Differential Equations 168 (2000), no. 1, 10--32
Y1 - 2000
A1 - Antonio Ambrosetti
A1 - Jesus Garcia Azorero
A1 - Ireneo Peral
PB - SISSA Library
UR - http://hdl.handle.net/1963/1258
U1 - 3197
ER -
TY - JOUR
T1 - Existence and multiplicity results for some nonlinear elliptic equations: a survey.
JF - Rend. Mat. Appl., 2000, 20, 167
Y1 - 2000
A1 - Antonio Ambrosetti
A1 - Jesus Garcia Azorero
A1 - Ireneo Peral
PB - SISSA Library
UR - http://hdl.handle.net/1963/1462
U1 - 3078
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Perturbation of $\\\\Delta u+u\\\\sp (N+2)/(N-2)=0$, the scalar curvature problem in $R\\\\sp N$, and related topics
JF - J. Funct. Anal. 165 (1999) 117-149
Y1 - 1999
A1 - Antonio Ambrosetti
A1 - Jesus Garcia Azorero
A1 - Ireneo Peral
AB - Some nonlinear elliptic equations on $R^N which arise perturbing the problem with the critical Sobolev exponent are studied. In particular, some results dealing with the scalar curvature problem in $R^N are given.
PB - Elsevier
UR - http://hdl.handle.net/1963/3255
U1 - 1446
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -