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No--flux boundary value problems with anisotropic variable exponents

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  • We are concerned with elliptic problems involving generalized anisotropic operators with variable exponents and a nonlinearity $f$. For such problems with no-flux boundary conditions we establish the existence, the uniqueness, or the multiplicity of weak solutions, under various hypotheses.
    Mathematics Subject Classification: Primary: 35J25, 35D30, 35J20; Secondary: 46E35.

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