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Three solutions to a Steklov problem involving the weighted $p(\cdot)$-Laplacian

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We study a nonlinear Steklov boundary-value problem involving the weighted p(⋅)-Laplacian. Using the Ricceri’s variational principle, we obtain the existence of at least three weak solutions in double weighted variable… Click to show full abstract

We study a nonlinear Steklov boundary-value problem involving the weighted p(⋅)-Laplacian. Using the Ricceri’s variational principle, we obtain the existence of at least three weak solutions in double weighted variable exponent Sobolev space.

Keywords: problem involving; three solutions; steklov problem; solutions steklov; involving weighted

Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2021

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