MULTIPLICITY OF SOLUTIONS OF DIRICHLET'S PROBLEM
FOR SECOND-ORDER p-LAPLACIAN DIFFERENTIAL
EQUATIONS WITH VARIABLE COEFFICIENTS
Gergana Tcvetkova1, Stepan Tersian2 1Technical University of Varna
Dept. of Mathematics and Physics
Studentska Str. 1
Varna, 9010, BULGARIA 2 Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Block 8
Sofia – 1113, BULGARIA
The existence of infinitely many solutions of Dirichlet's problem for p-Laplacian ordinary differential equation of second order is studied in the paper. The variational method is applied using the symmetric mountain pass theorem.
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