Multiple solutions for Kirchhoff‐type problems with variable exponent and nonhomogeneous Neumann conditions | Zendy

Heidarkhani Shapour | Zendy; Araujo Anderson L. A. | Zendy; Afrouzi Ghasem A. | Zendy; Moradi Shahin | Zendy

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Multiple solutions for Kirchhoff‐type problems with variable exponent and nonhomogeneous Neumann conditions

Author(s) -

Heidarkhani Shapour,

Araujo Anderson L. A.,

Afrouzi Ghasem A.,

Moradi Shahin

Publication year - 2018

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201600425

Subject(s) - mathematics , type (biology) , class (philosophy) , neumann boundary condition , von neumann architecture , mathematical analysis , kirchhoff integral theorem , exponent , variable (mathematics) , differential equation , pure mathematics , boundary value problem , computer science , summation equation , ecology , linguistics , philosophy , artificial intelligence , biology

The existence of at least three weak solutions for a class of differential equations with p ( x ) ‐Kirchhoff‐type and subject to small perturbations of nonhomogeneous Neumann conditions is established under suitable assumptions. Our technical approach is based on variational methods. In addition, an example to illustrate our results is given.

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