Displaying similar documents to “Some estimates for the first eigenvalue of the Sturm-Liouville problem with a weight integral condition”

The natural affinors on ( J r T * ) *

Włodzimierz M. Mikulski (2000)

Archivum Mathematicum

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For natural numbers r and n ≥ 2 a complete classification of natural affinors on the natural bundle ( J r T * ) * dual to r -jet prolongation J r T * of the cotangent bundle over n -manifolds is given.

The natural operators lifting vector fields to ( J r T * ) *

Włodzimierz M. Mikulski (2000)

Archivum Mathematicum

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For integers r ≥ 2 and n ≥ 2 a complete classification of all natural operators A : T | M n ⇝ T ( J r T * ) * lifting vector fields to vector fields on the natural bundle ( J r T * ) * dual to r -jet prolongation J r T * of the cotangent bundle over n -manifolds is given.

Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points

Jan Malý (1996)

Commentationes Mathematicae Universitatis Carolinae

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Let u be a weak solution of a quasilinear elliptic equation of the growth p with a measure right hand term μ . We estimate u ( z ) at an interior point z of the domain Ω , or an irregular boundary point z ∈ ∂ Ω , in terms of a norm of u , a nonlinear potential of μ and the Wiener integral of 𝐑 n ∖ Ω . This quantifies the result on necessity of the Wiener criterion.

The Neumann problem for some degenerate elliptic equations

Albo Carlos Cavalheiro (2006)

Applications of Mathematics

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In the paper we study the equation L u = f , where L is a degenerate elliptic operator, with Neumann boundary condition in a bounded open set Ω . We prove existence and uniqueness of solutions in the space H ( Ω ) for the Neumann problem.