Lower order terms in divergence form versus lower order terms with natural growth in some Dirichlet problems

We study the existence of solutions for some nonlinear elliptic boundary value problems, whose general form is: - div ( M ( x ) ∇ u ) + g ( u ) | ∇ u | 2 = - div ( E ( x , u ) ) + f ( x ) in Ω , u = 0 on ∂ Ω , where Ω is an open bounded subset of R N and f ∈ L 1 ( Ω ) . Despite this poor summability...

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Veröffentlicht in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2022-07, Vol.116 (3), Article 95
Hauptverfasser:	Boccardo, Lucio, Polito, Andrea
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Boundary value problems dedicated to Professor Ildefonso Díaz on the occasion of his 70th birthday Dirichlet problem Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Qualitative Properties of Nonlinear Partial Differential Equations Theoretical
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