6533b834fe1ef96bd129d6de

RESEARCH PRODUCT

Positive solutions of Dirichlet and homoclinic type for a class of singular equations

Manuel ZamoraPasquale CanditoRoberto LivreaLuis Sanchez

subject

Dirichlet problemPure mathematicsClass (set theory)SingularityApplied Mathematics010102 general mathematicsAnalysiType (model theory)01 natural sciencesDirichlet distributionPositive solution010101 applied mathematicssymbols.namesakeNonlinear systemSingularityHomoclinic solutionsymbolsHomoclinic orbitBoundary value problem0101 mathematicsAnalysisDirichlet problemMathematics

description

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.

yearjournalcountryeditionlanguage
2018-05-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2017.12.023