Landesman - Lazer type conditions and quasilinear elliptic equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F02%3A00006687" target="_blank" >RIV/61989100:27240/02:00006687 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Landesman - Lazer type conditions and quasilinear elliptic equations

Original language description

We study the existence of the weak solutions of nonlinear boundary value problem $$left{begin{array}{rcl} -Delta _p u & = & lambda |u|^{p-2} u +g(u)-h(x)hbox{ in } Omega, \u & = & 0 hbox{ on } partialOmega , end{array}right.$$ where $Omegasubset R ^N $ is a smooth bounded domain, $N geq 1$, $p>1$, $g: R to R $ is continuous function, $hin L^{p'}(Omega ) (p' =frac{p}{p-1} )$, $Delta _p$ is the $p$-Laplacian, i.e. $Delta _p u =text{div} (|nabla u |^{p-2} nabla u )$ and $lambdainR$. Our sufficient conditions gene-ra-li-ze all previously published results.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F00%2F0376" target="_blank" >GA201/00/0376: Non-linear boundary value problems-existence and multiplicity results bifurcations</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Equadiff 10

ISBN

80-210-2809-2

ISSN

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e-ISSN

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Number of pages

7

Pages from-to

45-51

Publisher name

Matematický ústav AV ČR

Place of publication

Praha

Event location

Praha

Event date

Aug 27, 2002

Type of event by nationality

EUR - Evropská akce

UT code for WoS article

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