Journal
APPLIED MATHEMATICS LETTERS
Volume 84, Issue -, Pages 26-33Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2018.04.007
Keywords
p-Laplacian operator; Nonlocal problem; Singularity; Multiple solutions; Critical point theory
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Funding
- National Research Fund in Bulgaria [DN 12/4-2017]
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In this paper, we study the existence of solutions for a class of degenerate nonlocal problems involving sub-linear nonlinearities, while the nonlinear part of the problem admits some hypotheses on the behavior at the origin or perturbation property. We obtain some new criteria for existence of two and infinitely many solutions of the problem using critical point theory. Some recent results are extended and improved. Some examples are presented to demonstrate the application of our main results. (C) 2018 Elsevier Ltd. All rights reserved.
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