On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities

J. Chabrowski; P. Drábek

Studia Mathematica (2002)

  • Volume: 151, Issue: 1, page 67-85
  • ISSN: 0039-3223

Abstract

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We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.

How to cite

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J. Chabrowski, and P. Drábek. "On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities." Studia Mathematica 151.1 (2002): 67-85. <http://eudml.org/doc/284959>.

@article{J2002,
abstract = {We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.},
author = {J. Chabrowski, P. Drábek},
journal = {Studia Mathematica},
keywords = {critical Sobolev exponent; mountain-pass principle; local minimization; concentration-compactness principle},
language = {eng},
number = {1},
pages = {67-85},
title = {On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities},
url = {http://eudml.org/doc/284959},
volume = {151},
year = {2002},
}

TY - JOUR
AU - J. Chabrowski
AU - P. Drábek
TI - On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities
JO - Studia Mathematica
PY - 2002
VL - 151
IS - 1
SP - 67
EP - 85
AB - We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.
LA - eng
KW - critical Sobolev exponent; mountain-pass principle; local minimization; concentration-compactness principle
UR - http://eudml.org/doc/284959
ER -

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