On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth

Candela, Anna Maria, and Squassina, Marco. "On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth." Serdica Mathematical Journal 29.4 (2003): 315-336. <http://eudml.org/doc/219620>.

@article{Candela2003,
abstract = {2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type.The research of the authors was partially supported by the MIUR project “Variational and topological methods in the study of nonlinear phenomena” (COFIN 2001). The second author was also supported by the Istituto Nazionale di Alta Matematica “F.Severi” (INdAM)},
author = {Candela, Anna Maria, Squassina, Marco},
journal = {Serdica Mathematical Journal},
keywords = {Nonsmooth Analysis; One-Sided Growth; Trudinger-Moser Inequality; Nonsmooth analysis; Trudinger-Moser inequality},
language = {eng},
number = {4},
pages = {315-336},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth},
url = {http://eudml.org/doc/219620},
volume = {29},
year = {2003},
}

TY - JOUR
AU - Candela, Anna Maria
AU - Squassina, Marco
TI - On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth
JO - Serdica Mathematical Journal
PY - 2003
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 29
IS - 4
SP - 315
EP - 336
AB - 2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type.The research of the authors was partially supported by the MIUR project “Variational and topological methods in the study of nonlinear phenomena” (COFIN 2001). The second author was also supported by the Istituto Nazionale di Alta Matematica “F.Severi” (INdAM)
LA - eng
KW - Nonsmooth Analysis; One-Sided Growth; Trudinger-Moser Inequality; Nonsmooth analysis; Trudinger-Moser inequality
UR - http://eudml.org/doc/219620
ER -