On the Regularizing Effect of Some Absorption and Singular Lower Order Terms in Classical Dirichlet Problems with L1 Data

Regularizing effect of absorption terms in singular and degenerate elliptic problems

“…Now in order to get rid of the first term of the right hand side of (4.8), we take V δ (u n )ϕ is a test function in the weak formulation of (3.1),where 11) and by Lemma 1.1 contained in [7], we have…”

“…with f ∈ L m (Ω), m ≥ 1, 0 ≤ γ < 1. Existence and regularity was established in [11]. Recently Olivia [15] have proved the existence and regularity of solution to the problem…”

Nonlinear elliptic equations with variable exponents involving singular nonlinearity

“…The authors in [9] prove the existence and uniqueness results. If p(x) = 2 and γ, r were constants, the problem (1) has been treated in [10].…”

Nonlocal Lazer-McKenna type problem perturbed by the Hardy's potential and its parabolic equivalence

“…where Ω is a bounded domain of R N , N ≥ 2, γ > 0 and µ a general Radon measure in Ω. Also, see the papers [27,28,29,30,31,32,33,34,35,36,37,38,39,40,41] for more related problems. These types of problems have been extensively studied for their relations with some physical phenomena in the theory of pseudoplastic fluids, [42].…”