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- Title
Evolution equations of p-Laplace type with absorption or source terms and measure data.
- Authors
Bidaut-Véron, Marie-Françoise; Nguyen, Quoc-Hung
- Abstract
Let Ω be a bounded domain of ℝN, and Q = Ω × (0, T). We consider problems of the type where Δp is the p-Laplacian, μ is a bounded Radon measure, u0 ∈ L1(Ω), and ±풢(u) is an absorption or a source term. In the model case 풢(u) = ±|u|q-1u (q > p-1), or 풢, has an exponential type. We prove the existence of renormalized solutions for any measure μ in the subcritical case, and give sufficient conditions for existence in the general case, when μ is good in time and satisfies suitable capacitary conditions.
- Subjects
EXISTENCE theorems; MATHEMATICAL bounds; LAPLACIAN matrices; RADON measures; ABSORPTION
- Publication
Communications in Contemporary Mathematics, 2015, Vol 17, Issue 6, p-1
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199715500066