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Polyharmonic equations with critical exponential growth in the whole space $ \mathbb{R}^{n}$
In memory of professor Rouhuai Wang (1924-2001): A pioneering Chinese researcher in partial differential equations
| 1. | School of Mathematical Sciences, Peking University, Beijing 100871 |
References:
| [1] |
S. Agmon, A. Douglis and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I and II,, Comm. Pure Appl. Math., 12 (1959), 623.
|
| [2] |
L. Caffarelli, J. J. Kohn, L. Nirenberg and J. Spruck, The Dirichlet problem for nonlinear second order elliptic equations, I and II,, Comm. Pure Appl. Math., 37 (1984), 369.
doi: 10.1002/cpa.3160380206. |
| [3] |
C. B. Morrey, On the analyticity of the solutions of analytic non-linear elliptic systems of partial differential equations, I and II,, Amer. J. Math., 80 (1958), 198. |
| [4] |
R. Wang, Analyticity of the solutions of analytic nonlinear general elliptic boundary value problems, and some results about linear problems,, Natural Science Journal of Jilin University, 1 (1963), 403.
doi: 10.1007/s11464-006-0016-8. |
| [5] |
R. Wang, On the Schauder-type theory for general parabolic boundary value problems,, Natural Science Journal of Jilin University, (1964), 35. |
| [6] |
R. Wang, A Fourier Method on the $L^p$ theory of parabolic and elliptic boundary value problems,, Scientia Sinica, 14 (1965), 1373.
|
| [7] |
R. Wang, Another construction of Maslov-Arnol'd index,, Proceedings of the 1980 Beijing Symposium on Differential Geometry and Differential Equations, 1, 2, 3 (1982), 1525.
|
| [8] |
R. Wang and Z. Cui, Generalized Leray formula on positive complex Lagrange-Grassmann manifolds,, Chinese Ann. Math. Ser. B, 5 (1984), 215.
|
| [9] |
R. Wang and Ch. Li, On the $L^p$-boundedness of several classes of psudodifferential operators,, Chinese Ann. Math. Ser B, 5 (1984), 193.
|
| [10] |
R. Wang and G. Wang, On existence, uniqueness and regularity of viscosity solutions for the first initial-boundary value problems to parabolic Monge-Ampère equation,, Northeast Math. J., 8 (1992), 417.
|
| [11] |
R. Wang and G. Wang, The geometric measure theoretical characterization of viscosity solutions to parabolic Monge-Ampère type equation,, J. Partial Differential Equations, 6 (1993), 237.
|
show all references
References:
| [1] |
S. Agmon, A. Douglis and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I and II,, Comm. Pure Appl. Math., 12 (1959), 623.
|
| [2] |
L. Caffarelli, J. J. Kohn, L. Nirenberg and J. Spruck, The Dirichlet problem for nonlinear second order elliptic equations, I and II,, Comm. Pure Appl. Math., 37 (1984), 369.
doi: 10.1002/cpa.3160380206. |
| [3] |
C. B. Morrey, On the analyticity of the solutions of analytic non-linear elliptic systems of partial differential equations, I and II,, Amer. J. Math., 80 (1958), 198. |
| [4] |
R. Wang, Analyticity of the solutions of analytic nonlinear general elliptic boundary value problems, and some results about linear problems,, Natural Science Journal of Jilin University, 1 (1963), 403.
doi: 10.1007/s11464-006-0016-8. |
| [5] |
R. Wang, On the Schauder-type theory for general parabolic boundary value problems,, Natural Science Journal of Jilin University, (1964), 35. |
| [6] |
R. Wang, A Fourier Method on the $L^p$ theory of parabolic and elliptic boundary value problems,, Scientia Sinica, 14 (1965), 1373.
|
| [7] |
R. Wang, Another construction of Maslov-Arnol'd index,, Proceedings of the 1980 Beijing Symposium on Differential Geometry and Differential Equations, 1, 2, 3 (1982), 1525.
|
| [8] |
R. Wang and Z. Cui, Generalized Leray formula on positive complex Lagrange-Grassmann manifolds,, Chinese Ann. Math. Ser. B, 5 (1984), 215.
|
| [9] |
R. Wang and Ch. Li, On the $L^p$-boundedness of several classes of psudodifferential operators,, Chinese Ann. Math. Ser B, 5 (1984), 193.
|
| [10] |
R. Wang and G. Wang, On existence, uniqueness and regularity of viscosity solutions for the first initial-boundary value problems to parabolic Monge-Ampère equation,, Northeast Math. J., 8 (1992), 417.
|
| [11] |
R. Wang and G. Wang, The geometric measure theoretical characterization of viscosity solutions to parabolic Monge-Ampère type equation,, J. Partial Differential Equations, 6 (1993), 237.
|
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