Abstract
This chapter deals with superlinear problems, i.e., nonlinear Dirichlet boundary value problems whose nonlinearity f(u) is superlinear at ∞, namely
In this case an appropriate approach seems to be critical point theory. Actually, the mountain pass theorem or the linking theorem can be used to find solutions. We also show how to study superlinear problems by using the topological degree.
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© 2011 Springer Science+Business Media, LLC
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Ambrosetti, A., Arcoya, D. (2011). Superlinear Problems. In: An Introduction to Nonlinear Functional Analysis and Elliptic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 82. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8114-2_11
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DOI: https://doi.org/10.1007/978-0-8176-8114-2_11
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Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8113-5
Online ISBN: 978-0-8176-8114-2
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