Positive solutions of critical semilinear elliptic equations on non-contractible planar domains

Michael Struwe

Journal of the European Mathematical Society (2000)

  • Volume: 002, Issue: 4, page 329-388
  • ISSN: 1435-9855

Abstract

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For semilinear elliptic equations of critical exponential growth we establish the existence of positive solutions to the Dirichlet problem on suitable non-contractible domains.

How to cite

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Struwe, Michael. "Positive solutions of critical semilinear elliptic equations on non-contractible planar domains." Journal of the European Mathematical Society 002.4 (2000): 329-388. <http://eudml.org/doc/277170>.

@article{Struwe2000,
abstract = {For semilinear elliptic equations of critical exponential growth we establish the existence of positive solutions to the Dirichlet problem on suitable non-contractible domains.},
author = {Struwe, Michael},
journal = {Journal of the European Mathematical Society},
keywords = {semilinear elliptic equation; critical exponential growth; positive solution; non-contractible domain; nonlinear elliptic equations; critical exponent; Dirichlet problem; variational methods},
language = {eng},
number = {4},
pages = {329-388},
publisher = {European Mathematical Society Publishing House},
title = {Positive solutions of critical semilinear elliptic equations on non-contractible planar domains},
url = {http://eudml.org/doc/277170},
volume = {002},
year = {2000},
}

TY - JOUR
AU - Struwe, Michael
TI - Positive solutions of critical semilinear elliptic equations on non-contractible planar domains
JO - Journal of the European Mathematical Society
PY - 2000
PB - European Mathematical Society Publishing House
VL - 002
IS - 4
SP - 329
EP - 388
AB - For semilinear elliptic equations of critical exponential growth we establish the existence of positive solutions to the Dirichlet problem on suitable non-contractible domains.
LA - eng
KW - semilinear elliptic equation; critical exponential growth; positive solution; non-contractible domain; nonlinear elliptic equations; critical exponent; Dirichlet problem; variational methods
UR - http://eudml.org/doc/277170
ER -

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