0000000000807618

AUTHOR

Luis Sanchez

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

2018

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.

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 problemMathematicsJournal of Mathematical Analysis and Applications
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