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The Robin Problem for Quasi-Linear Elliptic Equation p(x)-Laplacian in a Domain with Conical Boundary Point

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Current Trends in Analysis, its Applications and Computation

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

This paper is a survey of our last results about bounded weak solutions to the Robin boundary and the Robin transmission problems for an elliptic quasi-linear second-order equation with the variable p(x)-Laplacian in a conical bounded n −dimensional domain.

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References

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, Olsztyn, Poland

    Mikhail Borsuk

Authors
  1. Mikhail Borsuk
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Correspondence to Mikhail Borsuk .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Paula Cerejeiras

  2. Institut of Applied Analysis, TU Bergakademie Freiberg, Freiberg, Germany

    Michael Reissig

  3. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Irene Sabadini

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

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Borsuk, M. (2022). The Robin Problem for Quasi-Linear Elliptic Equation p(x)-Laplacian in a Domain with Conical Boundary Point. In: Cerejeiras, P., Reissig, M., Sabadini, I., Toft, J. (eds) Current Trends in Analysis, its Applications and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-87502-2_23

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