6533b7defe1ef96bd1275def

RESEARCH PRODUCT

Stress concentration for closely located inclusions in nonlinear perfect conductivity problems

Giulio CiraoloAngela Sciammetta

subject

Applied Mathematics010102 general mathematicsMathematical analysisDegenerate energy levelsZero (complex analysis)Perfect conductorAnalysiGradient blow-upType (model theory)Conductivity01 natural sciences010101 applied mathematicsNonlinear systemMathematics - Analysis of PDEsFOS: MathematicsFinsler p-Laplacian0101 mathematicsPerfect conductorAnisotropy35J25 35B44 35B50 (Primary) 35J62 78A48 58J60 (Secondary)AnalysisAnalysis of PDEs (math.AP)MathematicsStress concentration

description

We study the stress concentration, which is the gradient of the solution, when two smooth inclusions are closely located in a possibly anisotropic medium. The governing equation may be degenerate of $p-$Laplace type, with $1<p \leq N$. We prove optimal $L^\infty$ estimates for the blow-up of the gradient of the solution as the distance between the inclusions tends to zero.

yearjournalcountryeditionlanguage
2019-04-01
10.1016/j.jde.2018.10.041http://hdl.handle.net/10447/316600