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Analysis of institutional authors

Medina MAuthor

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August 15, 2022
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Equivalence of solutions for non-homogeneous p(x)-Laplace equationsy

Publicated to: Mathematics In Engineering. 5 (2): 1-19 - 2023-01-01 5(2), DOI: 10.3934/mine.2023044

Authors:

Medina, M.; Ochoa, P.
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Affiliations

Universidad Autónoma de Madrid - Author
Universidad Nacional de Cuyo - Author

Abstract

We establish the equivalence between weak and viscosity solutions for non-homogeneous p(x)-Laplace equations with a right-hand side term depending on the spatial variable, the unknown, and its gradient. We employ inf- and sup-convolution techniques to state that viscosity solutions are also weak solutions, and comparison principles to prove the converse. The new aspects of the p(x)- Laplacian compared to the constant case are the presence of log-terms and the lack of the invariance under translations.
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Keywords

Comparison principleNonlinear elliptic equationsP(x)-laplacianViscosity solutionsWeak solutions

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Mathematics In Engineering due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2023, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Analysis.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-02:

  • WoS: 1
  • Scopus: 3
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Impact and social visibility

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://repositorio.uam.es/handle/10486/720815
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Argentina.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (MEDINA DE LA TORRE, MARIA) .

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