6533b833fe1ef96bd129ca31
RESEARCH PRODUCT
Asymptotic paths for subsolutions of quasilinear elliptic equations
Juha HeinonenJuha Heinonensubject
Path (topology)Elliptic curveNumber theoryGeneral Mathematicsmedia_common.quotation_subjectMathematical analysisAlgebraic geometryInfinityMathematicsGrowth aspectsmedia_commondescription
Letu be an entire lower semicontinuous subsolution to the quasilinear elliptic equation divA(x,∇u)=0 in ℝn. It is shown that ifu is not bounded above, then there exists a path going to infinity along whichu tends to infinity. The result extends works of Talpur, Fuglede, and others. Growth aspects of subsolutions are also studied.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1988-12-01 | Manuscripta Mathematica |