Minimal_Cone

ÕªÒª£º One phase free boundary µÄÀíÂÛȷʵÁîÈ˷ѽ⣬ҲÁîÈË×ÅÃÔ¡£ÎªÊ²Ã´Õâô˵£¿ÒòΪֱ½ÓÈëÃÅ¿´[AC],Òª»¨·ÑºÜ´óµÄ¹¦·ò£¬¿´ÁË¿ÉÄÜÒ²²»Ò»¶¨ÄÜÂíÉÏÖªµÀËûÃÇ˵ÁËʲô£¬µ«ÊǾ­¹ýÁ˲¶à40ÄêµÄŬÁ¦£¬Êýѧ¼ÒÃǶÔÓÚ´ËÎÊÌâµÄÀí½â¿ÉÒÔ˵»¹ÊÇÓкܴóµÄÍ»ÆƵģ¬ÌرðÊÇ×î½ü¿´µ½ÁËB. VehichkovдµÄ ÔĶÁÈ«ÎÄ

ÕªÒª£º Given a nonnegative function, $u$, defined in some domain $D\subset R^n$, denote $$\Lambda(u)=\{x\in D, u=0\}, \Omega(u)=\{x\in D, u>0\}, F=F(u)=\part ÔĶÁÈ«ÎÄ

ÕªÒª£º ×î½ü£¬ÆäʵӦ¸Ã˵Êdz¤¾ÃÒÔÀ´µÄÒ»¸öÎÊÌ⣬¹ØÓÚpotentialÀíÂÛµÄһЩϸ½ÚÐÔµÄÒÉÎÊ£¬Õâ´ÎŪÇå³þÁËÒ»¸ö´ó¸Å¡£ ´ÓÊé¼®µÄÄÚÈÝÉÏÀ´½²£¬ÕâÒѾ­ÊǷdz£¾­µäµÄÄÚÈÝÁË£¬¾­¹ýÁËNewton£¬Guass£¬Riemann£¬poincare£¬Riesz£¬perron£¬wiener£¬cartanµÈÈ˵ÄÍêÉÆ£¬Ó¦¸Ã˵Lapla ÔĶÁÈ«ÎÄ

ÕªÒª£º ÒÑÖª $w$ ÊÇ·½³Ì$ax^3+bx^2+cx+d=0$ µÄ¸ù£¬ÆäÖÐ$a>0,b>0,c>0,d>0$. Ö¤Ã÷£º $|w|\leq \max\{b/a,c/b,d/c\}$. ¾ßÌåÖ¤Ã÷ÈçÏ£¬±È½Ï³õµÈ¡£ Éè$x_1,x_2,x_3$ÊÇ·½³ÌµÄÈý¸ö¸ù¡£²»·ÁÉè$x_3<0$, ÄÇô $$|x_3|=-x_3 ÔĶÁÈ«ÎÄ

ÕªÒª£º Òâ´óÀûÊýѧ¼ÒDe Giorgi ÕâÊÇתÔرðÈ˵ÄÓμÇ2009Äê12ÔÂ11ÈÕ 23:44 ±à¼­ | ɾ³ý ÔÚËûµÄÖ¸µ¼ÏÂ,De GiorgiÍê³ÉÁ˱¾¿ÆµÄѧϰ²¢µÃµ½ÁËLaureaѧλ.Picone¶ÔDe GiorgiµÄÊýѧÑо¿ºÍÊýѧ˼Ï붼ÓйؼüµÄÖØ´óÓ°Ïì,¾ÍÏñ½ªÁ¢·òÖ®ÓÚ³ÂÊ¡ÉíÒ»Ñù.½ô½Ó×Å,Ëû³ÉÁËPicone ÔĶÁÈ«ÎÄ

ÕªÒª£º °áÀ´°áÈ¥£¬ÕÒ²»µ½µØ·½£¬¾ÍÏÖÔÚÕâÀï°É¡£ Ò»µãµã2017Äê11ÔÂ19ÈÕ 14:31 ±à¼­ | ɾ³ý ÎÄÕ²»Ð´Ò»±Ê¿Õ£¡ ÎÄÕÂд×Åд×Å£¬ÔٺͱðÈËÌÖÂÛÌÖÂÛ£¬×îºó¾Í»áÓÐеĽá¹û³öÀ´¡£Ò»Ö±¾õµÃÕâ¸öHarnack³£ÊýµÄÎÊÌâÀ§ÈÅ×Åa56爆大奖在线娱乐£¬ÒòΪa56爆大奖在线娱乐Ãǵĵü´ú¹ý³ÌÐèÒª¶Ô³£Êý½øÐпØÖÆ£¬Õâ¸öÊÂÇéÐмÒÓ¦¸Ã¶¼ÊÇÖªµÀ¿ÉÒԵģ¬µ«ÊÇËƺõûÓÐÈË ÔĶÁÈ«ÎÄ

ÕªÒª£º ±¾Ñ§ÆÚa56爆大奖在线娱乐½ÌÁ˸öÊýÖµ·ÖÎöºÍmatlab¿Î³Ì£¬µ±È»matlabºÜ¾ÃûÓÐÅö¹ýÁË£¬Õâ´ÎÊÇÁÙʱÖØѧÁËÒ»±é¡£ÖÁÓÚÊýÖµ·ÖÎö£¬a56爆大奖在线娱乐ÊÇÒ»µãÒ²²»Åµģ¬ÒòΪ¾ØÕóÂÛ²¿·ÖÄÚÈݸոս̹ý¡£µ±È»£¬Èç¹û²»ÉîÈë½²½âËüµÄÀíÂÛ£¬ÖªÊ¶¸æËßÄãÔõôȥÓÃËü£¬a56爆大奖在线娱乐ÏëÕâЩ¾Í´Â´ÂÓÐÓàÁË¡£ Öص㣺 1.·¶Êý 2.ÏßÐÔ·½³Ì×éÇó½âµÄµü´ú·¨ 3.LU·Ö½â£¬ÇÇÁÐ˹»ù ÔĶÁÈ«ÎÄ

ÕªÒª£º Ö÷Òª²Î¿¼Ò»°ã²â¶ÈÂÛºÍBrezisµÄ·ºº¯·ÖÎöµÚ4ÕÂ. $L^p$ ¿Õ¼ä ¶ÔÓÚpdeÀ´½²ÊǷdz£ÖØÒªµÄ¿Õ¼ä£¬ËüµÄÐÔÖÊÒ²ÊǷdz£·á¸»µÄ£¨ÌرðÊÇÇ¿ÊÕÁ²£¬ÈõÊÕÁ²µÈÐÔÖÊ£©£¬Ò»°ãÉ¢ÂäÓÚ¸÷ÖÖÎÄÏ×Ö®ÖУ¬ÏÖÔÚ³Ã׎Ìʵ·ÖÎöµÄ»ú»á½«ËûÃÇÈÛ֮һ¯£¬·½±ã²éÔÄ¡£ Ϊ¼òµ¥Æð¼û£¬ÒÔÏÂ×ܼٶ¨ $\Omega$ΪÇøÓò¡£ 1. ¶ÔÓÚÈa56爆大奖在线娱乐âµÄ $ ÔĶÁÈ«ÎÄ

ÕªÒª£º ¸ÕÈ¥ÌýÔ¬ÓòÀÏʦ½²ÁËËüµÄSLEµÄ½²×ù£¬µ±È»Ö®Ç°Ö»ÊÇÐÎʽÉÏÖªµÀһЩ¼ÆË㣬Õâ´ÎÔÙÌýÒ»±éÖªµÀÁËһЩ¶¯»ú¡£ ±ÈÈç˵£¬Àà±ÈÓÚ¼«Ð¡ÇúÃæµÄÌݶȹÀ¼Æ£¬Yuan¿ÉÒÔ¶Ô$artanD^2u=\theta$ with Large phaseµÄÇéÐÎ×ö³öHessian¹À¼Æ£¬ÄÇôBDGÑ¡ÔñµÄÁ¿ÊÇ $\nu_{n+1}$, ÕâÑùËû ÔĶÁÈ«ÎÄ

ÕªÒª£º ¿¼ÂÇÒ»¸öÎÊÌ⣺ Alexandrov weak solution $det(D^2u)=1$ in $\Omega$; $u=0$ on $\partial\Omega$. ´Ë´¦$\Omega$ÊÇÒ»¸öÕý¹æ͹ÇøÓò£¬¼´³ýÁË͹ÒÔÍ⻹Âú×ã$B_{\frac{1}{n}}\subset\Omega\subse ÔĶÁÈ«ÎÄ