ON REMOVABLE SINGULARITIES FOR SOLUTIONS OF NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING VARIABLE EXPONENT

Pré-Publication, Document De Travail Année : 2022

ON REMOVABLE SINGULARITIES FOR SOLUTIONS OF NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING VARIABLE EXPONENT

(1)

Juan Alcon Apaza

Fonction : Auteur

Universidade Federal Fluminense [Rio de Janeiro]

Résumé

We study the removability of a singular set in the boundary of Neumann problem for elliptic equations with variable exponent. We consider the case where the singular set is compact, and give sufficient conditions for removability of this singularity for equations in the variable exponent Sobolev space.

Mots clés

Variable exponent Singular set Removable Singularity Neumann problem

Domaines

Mathématiques [math] Equations aux dérivées partielles [math.AP]

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articulo.pdf (284.8 Ko)

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Juan Pablo Alcon Apaza : Connectez-vous pour contacter le contributeur

https://hal.science/hal-03599196

Soumis le : mardi 20 septembre 2022-02:36:55

Dernière modification le : vendredi 5 avril 2024-15:54:54

Dates et versions

hal-03599196 , version 1 (07-03-2022)

hal-03599196 , version 2 (25-03-2022)

hal-03599196 , version 3 (11-04-2022)

hal-03599196 , version 4 (15-06-2022)

hal-03599196 , version 5 (11-07-2022)

hal-03599196 , version 6 (02-08-2022)

hal-03599196 , version 7 (20-09-2022)

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HAL Id : hal-03599196 , version 7

Citer

Juan Alcon Apaza. ON REMOVABLE SINGULARITIES FOR SOLUTIONS OF NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING VARIABLE EXPONENT. 2022. ⟨hal-03599196v7⟩

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