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

Candela, Anna Maria; Squassina, Marco

Serdica Mathematical Journal (2003)

- Volume: 29, Issue: 4, page 315-336
- ISSN: 1310-6600

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topCandela, 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 -

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