Symmetry and maximum value [closed]The mean value property and local maximumto show $g$ attains maxima and...
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Symmetry and maximum value [closed]
The mean value property and local maximumto show $g$ attains maxima and minimaLocal maximum and negative definitenessAttempt at Proving A Lemma (critical point, 2nd derivative, global maximum).The symmetry of mixed partials, for derivatives of order > 2Limit and maximum: IVTSymmetry in partial derivatives.If $A$ has a maximum, prove that it only has one.Maximum of function$(a, b) = left{x in mathbb{R}: a < x < bright}$ has neither minimum nor maximum.
$begingroup$
Assuming $U(x)>0$ is radial symmetric,and $U(x)$ is decrease respect to $|x|$, and $Uin H^2(mathbb R^n)$.
For any $||u||_{L^2}=1$, if $u$ make
$$
int Uu
$$
bs maximum, how to show $u$ is radial symmetric ?
analysis
$endgroup$
closed as off-topic by Alex Provost, Abcd, RRL, Eevee Trainer, Shailesh Mar 13 at 0:31
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Eevee Trainer, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
Assuming $U(x)>0$ is radial symmetric,and $U(x)$ is decrease respect to $|x|$, and $Uin H^2(mathbb R^n)$.
For any $||u||_{L^2}=1$, if $u$ make
$$
int Uu
$$
bs maximum, how to show $u$ is radial symmetric ?
analysis
$endgroup$
closed as off-topic by Alex Provost, Abcd, RRL, Eevee Trainer, Shailesh Mar 13 at 0:31
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Eevee Trainer, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
Assuming $U(x)>0$ is radial symmetric,and $U(x)$ is decrease respect to $|x|$, and $Uin H^2(mathbb R^n)$.
For any $||u||_{L^2}=1$, if $u$ make
$$
int Uu
$$
bs maximum, how to show $u$ is radial symmetric ?
analysis
$endgroup$
Assuming $U(x)>0$ is radial symmetric,and $U(x)$ is decrease respect to $|x|$, and $Uin H^2(mathbb R^n)$.
For any $||u||_{L^2}=1$, if $u$ make
$$
int Uu
$$
bs maximum, how to show $u$ is radial symmetric ?
analysis
analysis
asked Mar 12 at 13:56
lanse7ptylanse7pty
1,8121823
1,8121823
closed as off-topic by Alex Provost, Abcd, RRL, Eevee Trainer, Shailesh Mar 13 at 0:31
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Eevee Trainer, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Alex Provost, Abcd, RRL, Eevee Trainer, Shailesh Mar 13 at 0:31
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Eevee Trainer, Shailesh
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
add a comment |
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