6533b7d4fe1ef96bd1262757
RESEARCH PRODUCT
Generalized dirichlet problem in nonlinear potential theory
Jan MalýTero Kilpeläinensubject
Dirichlet problemDirichlet kernelsymbols.namesakeDirichlet eigenvalueGeneral MathematicsDirichlet's principleDirichlet boundary conditionMathematical analysissymbolsDirichlet L-functionDirichlet's energyElliptic boundary value problemMathematicsdescription
The operator extending the classical solution of the Dirichlet problem for the quasilinear elliptic equation divA(x,▽u)=0 akin to thep-Laplace equation is shown to be unique providedA obeys a specific order principle. The Keldych lemma is also generalized to this nonlinear setting.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1990-12-01 | Manuscripta Mathematica |