Open AccessOn the solvability of a boundary value problem for p -Laplacian differential equations
Author(s) -
Petio Kelevedjiev,
Silvestar Bojerikov
Publication year - 2017
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2017.1.8
Subject(s) - mathematics , boundary (topology) , value (mathematics) , mathematical analysis , statistics
Using barrier strip conditions, we study the existence of C2[0, 1]-solutions of the boundary value problem (φp(x′))′ = f (t, x, x′), x(0) = A, x′(1) = B, where φp(s) = s|s|p−2, p > 2. The question of the existence of positive monotone solutions is also affected.
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