Bifurcation for some semilinear elliptic equations when the linearization has no eigenvalues

Rother, Wolfgang. "Bifurcation for some semilinear elliptic equations when the linearization has no eigenvalues." Commentationes Mathematicae Universitatis Carolinae 34.1 (1993): 125-138. <http://eudml.org/doc/247520>.

@article{Rother1993,
abstract = {We prove existence and bifurcation results for a semilinear eigenvalue problem in $\mathbb \{R\}^N$$(N\ge 2)$, where the linearization — $\UnimplementedOperator $ has no eigenvalues. In particular, we show that under rather weak assumptions on the coefficients $\lambda =0$ is a bifurcation point for this problem in $H^1, H^2$ and $L^p$$(2\le p\le \infty )$.},
author = {Rother, Wolfgang},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {bifurcation point; variational method; eigenvalues; exponential decay; standing waves; existence; bifurcation},
language = {eng},
number = {1},
pages = {125-138},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Bifurcation for some semilinear elliptic equations when the linearization has no eigenvalues},
url = {http://eudml.org/doc/247520},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Rother, Wolfgang
TI - Bifurcation for some semilinear elliptic equations when the linearization has no eigenvalues
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 1
SP - 125
EP - 138
AB - We prove existence and bifurcation results for a semilinear eigenvalue problem in $\mathbb {R}^N$$(N\ge 2)$, where the linearization — $\UnimplementedOperator $ has no eigenvalues. In particular, we show that under rather weak assumptions on the coefficients $\lambda =0$ is a bifurcation point for this problem in $H^1, H^2$ and $L^p$$(2\le p\le \infty )$.
LA - eng
KW - bifurcation point; variational method; eigenvalues; exponential decay; standing waves; existence; bifurcation
UR - http://eudml.org/doc/247520
ER -

References

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