Nonlinear elliptic problems with jumping nonlinearities near the first eigenvalue

Drábek, Pavel. "Nonlinear elliptic problems with jumping nonlinearities near the first eigenvalue." Aplikace matematiky 26.4 (1981): 304-311. <http://eudml.org/doc/15202>.

@article{Drábek1981,
abstract = {In this paper existence and multiplicity of solutions of the elliptic problem $\mathcal \{L\} u + \lambda _1u+\mu u^+vu^-+g(x,u)=f$ in $\Omega $$Bu=0$ on $\partial \Omega $, are discussed provided the parameters $\mu $ and $v$ are close to the first eigenvalue $_1$. The sufficient conditions presented here are more general than those in given by S. Fučík in his aerlier paper.},
author = {Drábek, Pavel},
journal = {Aplikace matematiky},
keywords = {multiplicity of solutions; weakly nonlinear elliptic equations; multiplicity of solutions; weakly nonlinear elliptic equations},
language = {eng},
number = {4},
pages = {304-311},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonlinear elliptic problems with jumping nonlinearities near the first eigenvalue},
url = {http://eudml.org/doc/15202},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Drábek, Pavel
TI - Nonlinear elliptic problems with jumping nonlinearities near the first eigenvalue
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 4
SP - 304
EP - 311
AB - In this paper existence and multiplicity of solutions of the elliptic problem $\mathcal {L} u + \lambda _1u+\mu u^+vu^-+g(x,u)=f$ in $\Omega $$Bu=0$ on $\partial \Omega $, are discussed provided the parameters $\mu $ and $v$ are close to the first eigenvalue $_1$. The sufficient conditions presented here are more general than those in given by S. Fučík in his aerlier paper.
LA - eng
KW - multiplicity of solutions; weakly nonlinear elliptic equations; multiplicity of solutions; weakly nonlinear elliptic equations
UR - http://eudml.org/doc/15202
ER -