Abstract:In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [2, 9, 11] in some sense.
We deal with existence, uniqueness and regularity of nonnegative solutions to a Dirichlet problem for equations aswhere Ω is an open bounded subset of R N (N ≥ 2), p > 1, θ ≥ 0, f ≥ 0 belongs to a suitable Lebesgue space and h is a continuous, nonnegative function which may blow up at zero and it is bounded at infinity.
We deal with existence, uniqueness and regularity of nonnegative solutions to a Dirichlet problem for equations aswhere Ω is an open bounded subset of R N (N ≥ 2), p > 1, θ ≥ 0, f ≥ 0 belongs to a suitable Lebesgue space and h is a continuous, nonnegative function which may blow up at zero and it is bounded at infinity.
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