New existence results on nonhomogeneous Sturm-Liouville type BVPs for higher-order p-Laplacian differential equations

Yuji Liu. "New existence results on nonhomogeneous Sturm-Liouville type BVPs for higher-order p-Laplacian differential equations." Applicationes Mathematicae 38.3 (2011): 295-314. <http://eudml.org/doc/280013>.

@article{YujiLiu2011,
abstract = {A class of nonlinear boundary value problems for p-Laplacian differential equations is studied. Sufficient conditions for the existence of solutions are established. The nonlinearities are allowed to be superlinear. We do not apply the Green's functions of the relevant problem and the methods of obtaining a priori bounds for solutions are different from known ones. Examples that cannot be covered by known results are given to illustrate our theorems.},
author = {Yuji Liu},
journal = {Applicationes Mathematicae},
keywords = {higher order -Laplacian differential equation; Mawhin fixed point theorem},
language = {eng},
number = {3},
pages = {295-314},
title = {New existence results on nonhomogeneous Sturm-Liouville type BVPs for higher-order p-Laplacian differential equations},
url = {http://eudml.org/doc/280013},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Yuji Liu
TI - New existence results on nonhomogeneous Sturm-Liouville type BVPs for higher-order p-Laplacian differential equations
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 3
SP - 295
EP - 314
AB - A class of nonlinear boundary value problems for p-Laplacian differential equations is studied. Sufficient conditions for the existence of solutions are established. The nonlinearities are allowed to be superlinear. We do not apply the Green's functions of the relevant problem and the methods of obtaining a priori bounds for solutions are different from known ones. Examples that cannot be covered by known results are given to illustrate our theorems.
LA - eng
KW - higher order -Laplacian differential equation; Mawhin fixed point theorem
UR - http://eudml.org/doc/280013
ER -