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discontinuous nonlinearity

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

Existence and multiplicity of solutions for discontinuous elliptic problems in ℝN
Part of
- Equations and inequalities involving nonlinear operators
- Existence theories
Claudianor O. Alves, Ziqing Yuan, Lihong Huang
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 151 / Issue 2 / April 2021

Published online by Cambridge University Press:

28 April 2020, pp. 548-572

Print publication:

April 2021
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This paper concerns with the existence of multiple solutions for a class of elliptic problems with discontinuous nonlinearity. By using dual variational methods, properties of the Nehari manifolds and Ekeland's variational principle, we show how the ‘shape’ of the graph of the function A affects the number of nontrivial solutions.