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Semilinear Fractional Elliptic Problems with Mixed Dirichlet-Neumann Boundary Conditions

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Abstract

We study a nonlinear elliptic boundary value problem defined on a smooth bounded domain involving the fractional Laplace operator and a concave-convex term, together with mixed Dirichlet-Neumann boundary conditions.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Almería Ctra, Sacramento s/n, La Cañada de San Urbano, 04120, Almería, Spain

    José Carmona

  2. Departamento de Matemáticas, Universidad Carlos III de Madrid Avenida de la Universidad, 30, 28911, Leganés, Madrid, Spain

    Eduardo Colorado

  3. Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Università di Roma “Sapienza” Via Antonio, Scarpa 10, 00161, Roma, Italy

    Tommaso Leonori

  4. Departamento de Matemáticas, Universidad Carlos III de Madrid Avenida de la Universidad, 30, 28911, Leganés, Madrid, Spain

    Alejandro Ortega

Authors
  1. José Carmona
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  2. Eduardo Colorado
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  3. Tommaso Leonori
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  4. Alejandro Ortega
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Corresponding author

Correspondence to Eduardo Colorado.

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Carmona, J., Colorado, E., Leonori, T. et al. Semilinear Fractional Elliptic Problems with Mixed Dirichlet-Neumann Boundary Conditions. Fract Calc Appl Anal 23, 1208–1239 (2020). https://doi.org/10.1515/fca-2020-0061

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  • DOI: https://doi.org/10.1515/fca-2020-0061

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