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Comparison results for nonlinear anisotropic parabolic problems
No full textComparison results for solutions to the Dirichlet problems for a class of nonlinear, anisotropic parabolic equations are established. These results are obtained through a semidiscretization method in time after providing estimates for solutions to anisotropic elliptic problems with zero-order terms
A priori estimates for solutions to anisotropic elliptic problems via symmetrization
No full textWe obtain a comparison result for solutions to nonlinear fully anisotropic elliptic problems by means of anisotropic symmetrization. As consequence we deduce a priori estimates for norms of the relevant solutions
A symmetrization result for a class of anisotropic elliptic problems
No full textWe prove estimates for weak solutions to a class of Dirichlet problems associated to anisotropic elliptic equations with a zero order term
Estimates for fully anisotropic elliptic equations with a zero order term
No full textIntegral estimates for weak solutions to a class of Dirichlet problems for nonlinear, fully anisotropic, elliptic equations with a zero order term are obtained by symmetrization techniques. The anisotropy of the principal part of the operator is governed by a general n-dimensional Young function of the gradient which is not necessarily of polynomial type and need not satisfy the Δ2-condition
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