Global Solutions to Nonlinear Two‐Phase Free Boundary Problems

Silva, Daniela De; Savin, Ovidiu

doi:10.1002/cpa.21811

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Preliminaries and Notations1

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2020

2022

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Cited by 4 publications

(2 citation statements)

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“…Under this assumption, we can linearize the operator. Some authors assume that the operator is homogeneous [DFS,DS2]. This way, rescalings of the solution all solve the same equation.…”

Section: Preliminaries and Notationsmentioning

confidence: 99%

On the fully nonlinear Alt-Phillips equation

2020

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“…Under this assumption, we can linearize the operator. Some authors assume that the operator is homogeneous [DFS,DS2]. This way, rescalings of the solution all solve the same equation.…”

Section: Preliminaries and Notationsmentioning

confidence: 99%

On the fully nonlinear Alt-Phillips equation

2020

Preprint

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“…Fix r ≤ r 0 with r 0 universal (chosen in Step 3). Assume by contradiction that there exists a sequence ε k → 0 and a sequence u k of solutions to (18) in B 1 with right hand side f k , exponent p k and free boundary condition g k satisfying (29) with ε = ε k , such that u k satisfies (30), i.e., (32) (…”

mentioning

confidence: 99%