ON A CLASS OF ELLIPTIC NAVIER BOUNDARY VALUE PROBLEMS INVOLVING THE  $\boldsymbol{(p_{1}(\cdot),p_{2}(\cdot))}$-BIHARMONIC OPERATOR

A. Ayoujil; H. Belaouidel; M. Berrajaa; N. Tsouli

Authors

A. Ayoujil Regional Centre of Trades Education and Training, Oujda, Morocco Author
H. Belaouidel Laboratory Nonlinear Analysis, Department of Mathematics, Faculty of Science, University Mohammed 1st, Oujda, Morocco Author
M. Berrajaa Laboratory Nonlinear Analysis, Department of Mathematics, Faculty of Science, University Mohammed 1st, Oujda, Morocco Author
N. Tsouli Laboratory Nonlinear Analysis, Department of Mathematics, Faculty of Science, University Mohammed 1st, Oujda, Morocco Author

Keywords:

p_{1} (\cdot)

-Laplacian, mountain pass theorem, multiple solutions, critical point theory

Subjects:

39A05, 34B15

Abstract

In this article, we study the existence and multiplicity ofweak solutions for a class of elliptic Navier boundary value problems involving the $(p_{1} (\cdot), p_{2} (\cdot))$ -biharmonic operator. Our technical approach is based on variational methods and the theory of the variable exponent Lebesgue spaces. We establish the existence of at least onesolution and infinitely many solutions of this problem, respectively.

ON A CLASS OF ELLIPTIC NAVIER BOUNDARY VALUE PROBLEMS INVOLVING THE $(p_{1} (\cdot), p_{2} (\cdot))$ -BIHARMONIC OPERATOR

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ON A CLASS OF ELLIPTIC NAVIER BOUNDARY VALUE PROBLEMS INVOLVING THE (p1(⋅),p2(⋅))-BIHARMONIC OPERATOR

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Keywords:

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Abstract

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ON A CLASS OF ELLIPTIC NAVIER BOUNDARY VALUE PROBLEMS INVOLVING THE $(p_{1} (\cdot), p_{2} (\cdot))$ -BIHARMONIC OPERATOR