Ky Ho, Chan-Gyun Kim, Inbo Sim
Abstract:
We establish sufficient conditions for the existence of multiple positive
solutions to nonautonomous quasilinear elliptic equations with p(x)-Laplacian
and sign-changing nonlinearity. For solving the Dirichlet boundary-value
problem we use variational and topological methods. The nonexistence of
positive solutions is also studied.
Submitted April 15, 2014. Published November 13, 2014.
Math Subject Classifications: 35J20, 35J60, 35J70, 47J10, 46E35.
Key Words: p(x)-Laplacian; variable exponent; sign-changing nonlinearity;
positive solutions; multiplicity.
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Ky Ho Department of Mathematics University of Ulsan, Ulsan 680-749, Korea email: hnky81@gmail.com |
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Chan-Gyun Kim Department of Mathematics Education Pusan National University Busan 609-735, Korea email: cgkim75@gmail.com |
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Inbo Sim Department of Mathematics University of Ulsan Ulsan 680-749, Korea email: ibsim@ulsan.ac.kr |
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