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2 results on '"competing $(p"'

1. Variational differential inclusions without ellipticity condition

Author

Zhenhai Liu, Roberto Livrea, Dumitru Motreanu, and Shengda Zeng

Subjects
variational problem, hemivariational inequality, lack of ellipticity, competing $(p, q)$-laplacian, local and nonlocal operators, Mathematics, QA1-939
Abstract

The paper sets forth a new type of variational problem without any ellipticity or monotonicity condition. A prototype is a differential inclusion whose driving operator is the competing weighted $(p,q)$-Laplacian $-\Delta_p u+\mu\Delta_q u$ with $\mu\in \mathbb{R}$. Local and nonlocal boundary value problems fitting into this nonstandard setting are examined.

Published
2020
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2. Variational differential inclusions without ellipticity condition

Author

Dumitru Motreanu, Shengda Zeng, Roberto Livrea, Zhenhai Liu, Liu Z., Livrea R., Motreanu D., and Zeng S.

Subjects
Competing (P,Q)-Laplacian, Applied Mathematics, 010102 general mathematics, Mathematical analysis, hemivariational inequality, local and nonlocal operators, q)$-laplacian, 01 natural sciences, variational problem, 010101 applied mathematics, Differential inclusion, Settore MAT/05 - Analisi Matematica, QA1-939, lack of ellipticity, 0101 mathematics, Mathematics, competing $(p
Abstract

The paper sets forth a new type of variational problem without any ellipticity or monotonicity condition. A prototype is a differential inclusion whose driving operator is the competing weighted $(p,q)$-Laplacian $-\Delta_p u+\mu\Delta_q u$ with $\mu\in \mathbb{R}$. Local and nonlocal boundary value problems fitting into this nonstandard setting are examined.

Published
2020

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