A Variational Method for Multivalued Boundary Value Problems

Droh Arsène Béhi and Assohoun Adjé

Abstract and Applied Analysis, 2020, vol. 2020, issue 1

Abstract: In this paper, we investigate the existence of solution for differential systems involving a ϕ−Laplacian operator which incorporates as a special case the well‐known p−Laplacian operator. In this purpose, we use a variational method which relies on Szulkin’s critical point theory. We obtain the existence of solution when the corresponding Euler–Lagrange functional is coercive.

Date: 2020
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https://doi.org/10.1155/2020/8463263

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:8463263

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