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"Global" version of a classical elementary lemma in viscosity solutions theory on sequence of local"local" strict maximum (minimum) points

Lemma 2.4 at page 8page 8 of these lecture notes on viscosity solutions theory is a classical and frequently used result in viscosity solutions theory.

Does the lemma (and its proof) hold true if we replace "local" with "global" throughout?

"Global" version of a classical lemma in viscosity solutions theory on sequence of local strict maximum (minimum) points

Lemma 2.4 at page 8 of these lecture notes is a classical result in viscosity solutions theory.

Does the lemma (and its proof) hold true if we replace "local" with "global" throughout?

"Global" version of a classical elementary lemma in viscosity solutions theory on sequence of "local" strict maximum (minimum) points

Lemma 2.4 at page 8 of these lecture notes on viscosity solutions theory is a classical and frequently used result.

Does the lemma (and its proof) hold true if we replace "local" with "global" throughout?

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user103450
user103450

Lemma 2.4 at page 8 of these lecture notes is a classical result in viscosity solutions theory.

Does the lemma (and its proof) hold true if we replace "local""local" with "global""global" throughout?

Lemma 2.4 at page 8 of these lecture notes is a classical result in viscosity solutions theory.

Does the lemma (and its proof) hold true if we replace "local" with "global" throughout?

Lemma 2.4 at page 8 of these lecture notes is a classical result in viscosity solutions theory.

Does the lemma (and its proof) hold true if we replace "local" with "global" throughout?

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user103450
user103450
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