Saleh Shakeri, Armin Hadjian
Abstract:
Under appropriate oscillating behaviour of the
nonlinear term, we prove the existence of multiple solutions
for p-Laplacian parametric equations on unbounded intervals.
These problems have a variational structure, so we use an abstract
result for smooth functionals defined on reflexive Banach spaces.
Submitted April 11, 2016. Published October 26, 2016.
Math Subject Classifications: 35D30, 35J20, 35J60.
Key Words: Boundary-value problems on the real line; weak solution;
variational methods; infinitely many solutions.
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Saleh Shakeri Department of Mathematics Ayatollah Amoli Branch Islamic Azad University Amol, Iran email: s.shakeri@iauamol.ac.ir |
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Armin Hadjian Department of Mathematics Faculty of Basic Sciences University of Bojnord, P.O. Box 1339 Bojnord 94531, Iran email: hadjian83@gmail.com, a.hadjian@ub.ac.ir |
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