engleski

Some qualitative properties of solutions of quasilinear elliptic equations and applications

We study quasilinear elliptic equations of Leray-Lions type, maximum principles, nonexsistence and exsistence of solutions, the control of lower (upper) bound for essential supremum(essential infimum) of solutions, sign-changing solutions, local and global oscilation of solutions, geometry of domain, generating singularities of solutions, and lower bounds on constants appearing in Schauder, Agmon, Douglas and Nirenberg estimates

maximum principles; elliptic equations; Leray-Lions type equation

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