We study a nonlinear singular boundary value problem and prove that, depending on a relationship between exponents of power terms, the problem has either solutions of Dirichlet type or homoclinic solutions. We make use of shooting techniques and lower and upper solutions.
Candito, P., Livrea, R., Sanchez, L., Zamora, M. (2018). Positive solutions of Dirichlet and homoclinic type for a class of singular equations. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 461(2), 1561-1584 [10.1016/j.jmaa.2017.12.023].
Positive solutions of Dirichlet and homoclinic type for a class of singular equations
Livrea, Roberto;
2018-01-01
Abstract
We study a nonlinear singular boundary value problem and prove that, depending on a relationship between exponents of power terms, the problem has either solutions of Dirichlet type or homoclinic solutions. We make use of shooting techniques and lower and upper solutions.
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