Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Hopf_lemma> ?p ?o. }
Showing items 1 to 30 of
30
with 100 items per page.
- Hopf_lemma abstract "In mathematics, the Hopf lemma, named after Eberhard Hopf, states that if a continuous real-valued function in a domain in Euclidean space with sufficiently smooth boundary is harmonic in the interior and the value of the function at a point on the boundary is greater than the values at nearby points inside the domain, then the derivative of the function in the direction of the outward pointing normal is strictly positive. The lemma is an important tool in the proof of the maximum principle and in the theory of partial differential equations. The Hopf lemma has been generalized to describe the behavior of the solution to an elliptic problem as it approaches a point on the boundary where its maximum is attained.".
- Hopf_lemma wikiPageID "31760095".
- Hopf_lemma wikiPageRevisionID "598775597".
- Hopf_lemma hasPhotoCollection Hopf_lemma.
- Hopf_lemma subject Category:Mathematical_principles.
- Hopf_lemma subject Category:Partial_differential_equations.
- Hopf_lemma type Abstraction100002137.
- Hopf_lemma type Cognition100023271.
- Hopf_lemma type Communication100033020.
- Hopf_lemma type Content105809192.
- Hopf_lemma type DifferentialEquation106670521.
- Hopf_lemma type Equation106669864.
- Hopf_lemma type Generalization105913275.
- Hopf_lemma type Idea105833840.
- Hopf_lemma type MathematicalPrinciples.
- Hopf_lemma type MathematicalStatement106732169.
- Hopf_lemma type Message106598915.
- Hopf_lemma type PartialDifferentialEquation106670866.
- Hopf_lemma type PartialDifferentialEquations.
- Hopf_lemma type Principle105913538.
- Hopf_lemma type PsychologicalFeature100023100.
- Hopf_lemma type Statement106722453.
- Hopf_lemma comment "In mathematics, the Hopf lemma, named after Eberhard Hopf, states that if a continuous real-valued function in a domain in Euclidean space with sufficiently smooth boundary is harmonic in the interior and the value of the function at a point on the boundary is greater than the values at nearby points inside the domain, then the derivative of the function in the direction of the outward pointing normal is strictly positive.".
- Hopf_lemma label "Hopf lemma".
- Hopf_lemma sameAs m.0gtw18v.
- Hopf_lemma sameAs Q17027555.
- Hopf_lemma sameAs Q17027555.
- Hopf_lemma sameAs Hopf_lemma.
- Hopf_lemma wasDerivedFrom Hopf_lemma?oldid=598775597.
- Hopf_lemma isPrimaryTopicOf Hopf_lemma.