Mashiyev, R. Ayazoglu; Ekincioglu, Ismail

This article deals with a quasilinear elliptic equation with variable exponent under a homogenous Dirichlet boundary-value condition, where nonlinearity also depends on the gradient of the solution. By using an iterative method based on Mountain Pass techniques, the existence of a positive solution is obtained.

AtıfScopus11·WoS10·OpenAlex13

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Avci, M.; Mashiyev, R. Ayazoglu; Cekic, B.

This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.

AtıfScopus2·OpenAlex2

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