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Three solutions to mixed boundary value problem driven by p(z)-Laplace operator

Calogero VetroFrancesca Vetro

subject

Dirichlet–Neumann boundary value problemSettore MAT/05 - Analisi MatematicaGeneral MathematicsMathematical analysisp(z)-Laplace operatorBoundary value problemvariable exponent Sobolev spaceLaplace operatorMathematics

description

We prove the existence of at least three weak solutions to a mixed Dirichlet–Neumann boundary value problem for equations driven by the p(z)-Laplace operator in the principal part. Our approach is variational and use three critical points theorems.

10.1002/mana.201900123http://hdl.handle.net/10447/514943