{"type":"product","schema_version":"1.0","item_id":"101737905380","canonical_url":"https://tw.bid.yahoo.com/item/101737905380","title":"Nonlinear Potential Theory of Degenerate Elliptic Equations｜Heinonen Martio","subtitle":"作者: Heinonen / Kilpelainen / Martio","condition":"近全新","currency":"TWD","observed_at":"2026-04-27T18:27:50.408Z","current_price":500,"original_price":null,"stock_status":"low_stock","available_quantity":1,"sold_quantity":0,"seller":{"id":"Y4762459297","name":"個人,售出不退買家負擔運送風險","positive_rate":null,"rating_count":null},"images":[{"url":"https://img.yec.tw/ob/image/9f19fce5-662f-4e7a-aa0d-c1634b7b85fa.jpg","role":"main","alt":"商品主圖","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/687063e8-4b0a-4cb4-bacb-1c918c33c0fa.jpg","role":"detail","alt":"商品圖片 2","width":null,"height":null}],"description":"約於2016年自Amazon購入後就放在書架上未曾翻閱\n\n外觀保存如圖，附書套\n\n售出不退，請可接受以上所有敘述者再下標\n\nProduct details- Publisher  :  Dover Publications\n- Publication date  :  October 6, 2006\n- Edition  :  Reprint\n- Language  :  English\n- Print length  :  416 pages\n- Item Weight  :  14.4 ounces\n- Dimensions  :  5.25 x 0.75 x 8.25 inches\n\nISBN : 0-486-45050-3\n\n目錄：\n\nIntroduction1. Weighted Sobolev spaces2. Capacity3. Supersolutions and the obstacle problem4. Refined Sobolev spaces5. Variational integrals6. Harmonic functions7. Superharmonic functions8. Balayage9. Perron's method, barriers, and resolutivity10. Polar sets11. Harmonic measure12. Fine topology13. Harmonic morphisms14. Quasiregular mappings15. Ap-weights and Jacobians of quasiconformal mappings16. Axiomatic non potential theory17. Appendix I: The existence of solutions18. Appendix II: The John-Nirenberg lemmaBibliographyList of symbolsIndex\n\nA self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the non potential theory of superharmonic functions.\n\nStarting with the theory of weighted Sobolev spaces, this treatment advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the non potential theory of superharmonic functions. Topics include balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; harmonic morphisms; and quasiregular mappings. The text concludes with explorations of axiomatic non potential theory and helpful appendixes.","shipping_methods":[{"name":"郵局掛號","fee":0,"currency":"TWD"},{"name":"7-ELEVEN取貨付款","fee":0,"currency":"TWD"},{"name":"7-ELEVEN取貨不付款","fee":0,"currency":"TWD"},{"name":"面交/自取/不寄送","fee":0,"currency":"TWD"},{"name":"萊爾富取貨付款","fee":0,"currency":"TWD"}],"lowest_shipping_fee":null,"payment_methods":["ATM轉帳","萊爾富取貨付款","7-ELEVEN取貨付款"],"category_id":"2092095952","category_name":"理工醫","breadcrumb":[{"id":"3994318","name":"圖書/影音/文具","url":"/tw/%E5%9C%96%E6%9B%B8-%E5%BD%B1%E9%9F%B3-%E6%96%87%E5%85%B7-3994318-category.html"},{"id":"2092064185","name":"圖書與雜誌","url":"/tw/%E5%9C%96%E6%9B%B8%E8%88%87%E9%9B%9C%E8%AA%8C-2092064185-category.html"},{"id":"2092073405","name":"教育/考試用書","url":"/tw/%E6%95%99%E8%82%B2-%E8%80%83%E8%A9%A6%E7%94%A8%E6%9B%B8-2092073405-category.html"},{"id":"2092079015","name":"教科書","url":"/tw/%E6%95%99%E7%A7%91%E6%9B%B8-2092079015-category.html"},{"id":"2092095948","name":"大專/大學用書","url":"/tw/%E5%A4%A7%E5%B0%88-%E5%A4%A7%E5%AD%B8%E7%94%A8%E6%9B%B8-2092095948-category.html"},{"id":"2092095952","name":"理工醫","url":"/tw/%E7%90%86%E5%B7%A5%E9%86%AB-2092095952-category.html"}],"view_count":0,"watch_count":0,"hashtags":["Dover","位勢論","退化型橢圓方程"]}