Existence and multiplicity of solutions for systems of semilinear elliptic equations
DOI:
https://doi.org/10.22199/S07160917.1996.0001.00001Keywords:
Partial differential equations,Abstract
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References
[1] Agmon, S. and Douglis, A. and Nirenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations satifying general boundary conditions, Comm. Pure Appl. Math., 12 623-727, 1959.
[2] H. Amann, Nonlinear operators in ordered Banach Spaces and some applications to nonlinear boundary value pmblems. Lecture : Notes in Mathematics, 543 , 1-53, 1976.
[3] M.G. Crandall, An introduction to constructive aspects of bifurcation and the implicit function theorem, Application of bifurcation theory, edited by P. Rabinowitz, 1-33, 1977.
[4] D. de Figuereido and P.L.Lions and R.D.Nussbaum, A priori estimates and existence of positive solutions of semilinear elliptic equations, .J. Math. Pures et Appl., 61, 41-63, 1982.
[5] Choi, Y.S. and Hernández, Gastón Existence and Multiplicity of solutions for a Nonvariational Elliptic Problem, Journal of Mathematical Analysis and Its Applications 182 No.1, 189-249, 1994.
[6] Choi, Y.S. and Hernández, Gastón Existence of solutions in a singular biharmonic nonlinear problem. Proceeding of the Edinburgh Math. Soc. 36, 537-546, 1993.
[7] Choi, Y. S. and Hernández, Gastón Behavior of multiple solutions for systems of semilinear elliptic equations Submitted, 1995.
[8] Lions, P. L., On the existence of positive solutions of semilinear elliptic equations. SIAM Review, 24 No. 4", 441-467, 1982.
[9] McKenna, P.J. and Walter, W., On the Dirichlet Problem for Elliptic Systems. Applicable Analysis, 21, 207-224, 1986.
[10] P.H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations. CBMS Regional Conference Series in Mathematics 65, AMS, Providence, 1986.
[11] Shaker, A.W., On Symmetry in Elliptic Systems, Applicable Analysis, 41, 1-9, 1991.
[2] H. Amann, Nonlinear operators in ordered Banach Spaces and some applications to nonlinear boundary value pmblems. Lecture : Notes in Mathematics, 543 , 1-53, 1976.
[3] M.G. Crandall, An introduction to constructive aspects of bifurcation and the implicit function theorem, Application of bifurcation theory, edited by P. Rabinowitz, 1-33, 1977.
[4] D. de Figuereido and P.L.Lions and R.D.Nussbaum, A priori estimates and existence of positive solutions of semilinear elliptic equations, .J. Math. Pures et Appl., 61, 41-63, 1982.
[5] Choi, Y.S. and Hernández, Gastón Existence and Multiplicity of solutions for a Nonvariational Elliptic Problem, Journal of Mathematical Analysis and Its Applications 182 No.1, 189-249, 1994.
[6] Choi, Y.S. and Hernández, Gastón Existence of solutions in a singular biharmonic nonlinear problem. Proceeding of the Edinburgh Math. Soc. 36, 537-546, 1993.
[7] Choi, Y. S. and Hernández, Gastón Behavior of multiple solutions for systems of semilinear elliptic equations Submitted, 1995.
[8] Lions, P. L., On the existence of positive solutions of semilinear elliptic equations. SIAM Review, 24 No. 4", 441-467, 1982.
[9] McKenna, P.J. and Walter, W., On the Dirichlet Problem for Elliptic Systems. Applicable Analysis, 21, 207-224, 1986.
[10] P.H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations. CBMS Regional Conference Series in Mathematics 65, AMS, Providence, 1986.
[11] Shaker, A.W., On Symmetry in Elliptic Systems, Applicable Analysis, 41, 1-9, 1991.
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2018-04-04
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How to Cite
[1]
“Existence and multiplicity of solutions for systems of semilinear elliptic equations”, Proyecciones (Antofagasta, On line), vol. 15, no. 1, pp. 1–17, Apr. 2018, doi: 10.22199/S07160917.1996.0001.00001.
