On general solvability properties of -Lapalacian-like equations
Pavel Drábek; Christian G. Simader
Mathematica Bohemica (2002)
- Volume: 127, Issue: 1, page 103-122
- ISSN: 0862-7959
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topDrábek, Pavel, and Simader, Christian G.. "On general solvability properties of $p$-Lapalacian-like equations." Mathematica Bohemica 127.1 (2002): 103-122. <http://eudml.org/doc/249018>.
@article{Drábek2002,
abstract = {We discuss how the choice of the functional setting and the definition of the weak solution affect the existence and uniqueness of the solution to the equation \[ -\Delta \_p u = f \ \text\{in\} \ \Omega , \]
where $\Omega $ is a very general domain in $\mathbb \{R\}^N$, including the case $\Omega = \mathbb \{R\}^N$.},
author = {Drábek, Pavel, Simader, Christian G.},
journal = {Mathematica Bohemica},
keywords = {quasilinear elliptic equations; weak solutions; solvability; quasilinear elliptic equations; weak solutions; solvability; existence; uniqueness},
language = {eng},
number = {1},
pages = {103-122},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On general solvability properties of $p$-Lapalacian-like equations},
url = {http://eudml.org/doc/249018},
volume = {127},
year = {2002},
}
TY - JOUR
AU - Drábek, Pavel
AU - Simader, Christian G.
TI - On general solvability properties of $p$-Lapalacian-like equations
JO - Mathematica Bohemica
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 127
IS - 1
SP - 103
EP - 122
AB - We discuss how the choice of the functional setting and the definition of the weak solution affect the existence and uniqueness of the solution to the equation \[ -\Delta _p u = f \ \text{in} \ \Omega , \]
where $\Omega $ is a very general domain in $\mathbb {R}^N$, including the case $\Omega = \mathbb {R}^N$.
LA - eng
KW - quasilinear elliptic equations; weak solutions; solvability; quasilinear elliptic equations; weak solutions; solvability; existence; uniqueness
UR - http://eudml.org/doc/249018
ER -
References
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