- Coffman , C.V. 1984 . A nonlinear boundary value problem with many positive solutions . J. Differential Equations , 54 : 429 – 437 .
- Gidas , B. , Ni , W.M. and Nirenberg , L. 1979 . Symmetry and related properties via the maximum principle . Comm. Math. Phys , 68 : 209 – 243 .
- Hirano , N. and Mizoguchi , N. 1994 . Nonradial solutions of semilinear elliptic equations on annuli . J. Math. Soc. Japan , 46 : 111 – 117 .
- Hofer , H. 1985 . A geometric description of the neighbourhood of a critical point given by the mountain-pass theorem . J. London Math. Soc. , 31 : 566 – 570 .
- Kawohi , B. 1985 . “ Rearrangements and convexity of level sets in P.D.E. ” . In Lecture Notes in Math , Vol. 1150 , Springer .
- Lazer , A.C. and Solimini , S. 1988 . Nontrivial solutions of operator equations and Morse indices of critical points of min-max type . Nonlinear Anal. , 12 : 761 – 775 .
- Li , Y.Y. 1990 . Existence of many positive solutions of semilinear elliptic equations on annulus . J. Differential Equations , 83 : 348 – 367 .
- Ren , X. and Wei , J. 1994 . On a two-dimensional elliptic problem with large exponent in nonlinearity . Trans. Amer. Math. Soc. , 343 : 749 – 763 .
- Suzuki , T. 1989 . “ Radial and nonradial solutions for semilinear elliptic equations on circular domains. ” . In Simposia Mathematics , Edited by: Talenti , G. Vol. 30 , 153 – 174 . Academic Press . In Indam Conference on geometry of solutions of partial differential equations, Cortona 1988 (ed. G. Talenti),Simposia Mathematica 30, Academic Press 1989, pp. 153.174
- Suzuki T. Positive solutions for semilinear elliptic equations on expanding annuli: mountain pass approach Preprint
Generation of infinitely many solutions of semilinear elliptic equation in two dimensional annulus
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