Nonlinear Potential Theory of Degenerate Elliptic Equations
Nonlinear Potential Theory of Degenerate Elliptic Equations
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发表时间：
1993-01
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通讯作者：
J. Heinonen;T. Kilpeläinen;O. Martio
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作者：
J. Heinonen;T. Kilpeläinen;O. Martio
1：加权Sobolev空间。2：容量。3：超解和障碍问题。4：精致的Sobolev空间。变分积分。6: a -谐函数。7: A超谐波函数。8: Balayage. 9: Perron’s method, barriers, and resolution。10：极集。11：谐波测量。12：精细拓扑。调和态射。14：准正则映射。15：拟共形映射的ap权值和jacobian。公理化非线性势理论。附录一：解的存在性。附录二：约翰-尼伦伯格引理。参考书目。符号列表。指数
Introduction. 1: Weighted Sobolev spaces. 2: Capacity. 3: Supersolutions and the obstacle problem. 4: Refined Sobolev spaces. 5: Variational integrals. 6: A-harmonic functions. 7: A superharmonic functions. 8: Balayage. 9: Perron's method, barriers, and resolutivity. 10: Polar sets. 11: A-harmonic measure. 12: Fine topology. 13: Harmonic morphisms. 14: Quasiregular mappings. 15: Ap-weights and Jacobians of quasiconformal mappings. 16: Axiomatic nonlinear potential theory. Appendix I: The existence of solutions. Appendix II: The John-Nirenberg lemma. Bibliography. List of symbols. Index