# On general solvability properties of $p$-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 -

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