Abstract In the present paper we prove existence results for solutions to nonlinear elliptic Neumann problems whose prototype is { − Δ p u − div ( c ( x ) | u | p − 2 u ) ) = f in Ω , ( | ∇ u | p − 2 ∇ u + c ( x ) | u | p − 2 u ) ⋅ n ̲ = 0 on ∂ Ω , when f is just a summable function. Our approach also allows us to prove a stability result for renormalized solutions and an existence result for operator with a zero order term.
Neumann problems for nonlinear elliptic equations with L^1 data
BETTA, MARIA FRANCESCA;
2015-01-01
Abstract
Abstract In the present paper we prove existence results for solutions to nonlinear elliptic Neumann problems whose prototype is { − Δ p u − div ( c ( x ) | u | p − 2 u ) ) = f in Ω , ( | ∇ u | p − 2 ∇ u + c ( x ) | u | p − 2 u ) ⋅ n ̲ = 0 on ∂ Ω , when f is just a summable function. Our approach also allows us to prove a stability result for renormalized solutions and an existence result for operator with a zero order term.File in questo prodotto:
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