Partial Differential Equations, Spectral Theory, and Mathematical Physics
10.4171/ecr/18 , 10.4171/ecr/18-1/1 , 10.4171/ecr/18-1/23 , 10.4171/ecr/18-1/24 , 10.4171/ecr/18-1/20 , 10.4171/ecr/18-1/2 , 10.4171/ecr/18-1/14 , 10.4171/ecr/18-1/7 , 10.4171/ecr/18-1/25 , 10.4171/ecr/18-1/12 , 10.4171/ecr/18-1/3 , 10.4171/ecr/18-1/27 , 10.4171/ecr/18-1/10 , 10.48550/arxiv.2101.06539 , 10.48550/arxiv.1906.00611 , 10.48550/arxiv.2011.00607 , 10.48550/arxiv.2011.14877 , 10.48550/arxiv.2008.06737 , 10.48550/arxiv.2011.13382 , 10.48550/arxiv.2011.14699 , 10.48550/arxiv.2010.12961 , 10.48550/arxiv.2103.00038 , 10.48550/arxiv.1901.09958 , 10.48550/arxiv.2007.08418
http://arxiv.org/abs/2103.00038 , http://arxiv.org/abs/2011.13382 , http://arxiv.org/abs/2011.14699 , http://arxiv.org/abs/2008.06737 , http://arxiv.org/abs/2101.06539 , http://arxiv.org/abs/1906.00611 , http://arxiv.org/abs/2011.00607 , http://arxiv.org/abs/2011.14877 , http://arxiv.org/abs/1901.09958 , http://arxiv.org/abs/2007.08418 , http://arxiv.org/abs/2011.00309
10.4171/ecr/18 , 10.4171/ecr/18-1/1 , 10.4171/ecr/18-1/23 , 10.4171/ecr/18-1/24 , 10.4171/ecr/18-1/20 , 10.4171/ecr/18-1/2 , 10.4171/ecr/18-1/14 , 10.4171/ecr/18-1/7 , 10.4171/ecr/18-1/25 , 10.4171/ecr/18-1/12 , 10.4171/ecr/18-1/3 , 10.4171/ecr/18-1/27 , 10.4171/ecr/18-1/10 , 10.48550/arxiv.2101.06539 , 10.48550/arxiv.1906.00611 , 10.48550/arxiv.2011.00607 , 10.48550/arxiv.2011.14877 , 10.48550/arxiv.2008.06737 , 10.48550/arxiv.2011.13382 , 10.48550/arxiv.2011.14699 , 10.48550/arxiv.2010.12961 , 10.48550/arxiv.2103.00038 , 10.48550/arxiv.1901.09958 , 10.48550/arxiv.2007.08418
http://arxiv.org/abs/2103.00038 , http://arxiv.org/abs/2011.13382 , http://arxiv.org/abs/2011.14699 , http://arxiv.org/abs/2008.06737 , http://arxiv.org/abs/2101.06539 , http://arxiv.org/abs/1906.00611 , http://arxiv.org/abs/2011.00607 , http://arxiv.org/abs/2011.14877 , http://arxiv.org/abs/1901.09958 , http://arxiv.org/abs/2007.08418 , http://arxiv.org/abs/2011.00309
Partial Differential Equations, Spectral Theory, and Mathematical Physics
We give the asymptotic behavior of the ground state energy of Engel's and Dreizler's relativistic Thomas-Fermi-Weizs��cker-Dirac functional for heavy atoms for fixed ratio of the atomic number and the velocity of light. Using a variation of the lower bound, we show stability of matter.
- Università degli studi di Salerno Italy
- University of Wisconsin–Oshkosh United States
- Peoples' Friendship University of Russia Russian Federation
- Ludwig-Maximilians-Universität München Germany
- Aarhus University Denmark
35B27 (Primary), FOS: Physical sciences, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], math.FA, Primary 47E05, Secondary 34E05, 35B40, 35B41, 37L30, 35Q31, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], 47G30 (Primary) 58J50, 35P20,, 510, 81V45, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, 35P20, [MATH.MATH-SP] Mathematics [math]/Spectral Theory [math.SP], Classical Analysis and ODEs (math.CA), 33C45, 39A70, 47A40, 47B39, FOS: Mathematics, 46E35, Spectral Theory (math.SP), math.AP, Mathematical Physics, 47G30 (Primary) 58J50, 35XX, 35B33, 35A24, 35J25, 35J60, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], math.SP, Mathematical Physics (math-ph), [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], Functional Analysis (math.FA), Mathematics - Functional Analysis, 35Q55, Mathematics - Classical Analysis and ODEs, [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP], Analysis of PDEs (math.AP)
35B27 (Primary), FOS: Physical sciences, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], math.FA, Primary 47E05, Secondary 34E05, 35B40, 35B41, 37L30, 35Q31, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], 47G30 (Primary) 58J50, 35P20,, 510, 81V45, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, 35P20, [MATH.MATH-SP] Mathematics [math]/Spectral Theory [math.SP], Classical Analysis and ODEs (math.CA), 33C45, 39A70, 47A40, 47B39, FOS: Mathematics, 46E35, Spectral Theory (math.SP), math.AP, Mathematical Physics, 47G30 (Primary) 58J50, 35XX, 35B33, 35A24, 35J25, 35J60, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], math.SP, Mathematical Physics (math-ph), [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], Functional Analysis (math.FA), Mathematics - Functional Analysis, 35Q55, Mathematics - Classical Analysis and ODEs, [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP], Analysis of PDEs (math.AP)
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