Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients

We establish homogenization results for both linear and semilinear partial differential equations of parabolic type, when the linear second order PDE operator satisfies a hypoellipticity asumption, rather than the usual ellipticity condition. Our method of proof is essentially probabilistic.

Infinitely many solutions for a semilinear elliptic equation with sign-changing potential.

Yu, Chen, Yongqing, Li (2009)

Boundary Value Problems [electronic only]

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Existence of solutions for $p (x)$ -Laplacian equations.

Mashiyev, R.A., Cekic, B., Buhrii, O.M. (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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The existence of positive solutions for an elliptic boundary value problem.

Afrouzi, G.A. (2005)

International Journal of Mathematics and Mathematical Sciences

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