Geodesic
New existence results on nonhomogeneous Sturm–Liouville type BVPs for higher-order $p$-Laplacian differential equations
Yuji Liu1
1 Department of Mathematics Guangdong University of Business Studies Guangzhou 510000, P.R. China
Applicationes Mathematicae, Tome 38 (2011) no. 3, pp. 295-314 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am38-3-3
Keywords: class nonlinear boundary value problems p laplacian differential equations studied sufficient conditions existence solutions established nonlinearities allowed superlinear apply greens functions relevant problem methods obtaining priori bounds solutions different known examples cannot covered known results given illustrate theorems

Yuji Liu 1

1 Department of Mathematics Guangdong University of Business Studies Guangzhou 510000, P.R. China 
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     title = {New existence results on nonhomogeneous {Sturm{\textendash}Liouville} type {BVPs} for higher-order $p${-Laplacian} differential equations},
     journal = {Applicationes Mathematicae},
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Yuji Liu. New existence results on nonhomogeneous Sturm–Liouville type BVPs for higher-order $p$-Laplacian differential equations. Applicationes Mathematicae, Tome 38 (2011) no. 3, pp. 295-314. doi: 10.4064/am38-3-3

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