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