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We show the existence of the solutions for the following nonlinear elliptic problem under the Dirichlet boundary condition. To show the existence of the solutions we use the variational formulation.
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참고문헌 (16)
참고문헌 신청
Amann, H / 1981 / Multiple periodic solutions for a class of nonlinear-autonomous wave equations / Houston J. Math 7 : 147 ~ 174
Ambrosetti, A / 1973 / Dual variational methods in critical point theory and application / J. funct. Analysis 14 : 349 ~ 381
Benci, V / 1979 / Critical point theorems for indefnite functionals / Inventions Math 52 : 241 ~ 273
Berger, M. S / 1977 / Nonlinearity and Functional Analysis / Academic Press
Coffman, C. V / 1970 / On a class of nonlinear elliptic boundary value problems / J.Math. Mech 19 : 351 ~ 356
Ambrosetti, A / 1973 / Dual variational methods in critical point theory and application / J. funct. Analysis 14 : 349 ~ 381
Benci, V / 1979 / Critical point theorems for indefnite functionals / Inventions Math 52 : 241 ~ 273
Berger, M. S / 1977 / Nonlinearity and Functional Analysis / Academic Press
Coffman, C. V / 1970 / On a class of nonlinear elliptic boundary value problems / J.Math. Mech 19 : 351 ~ 356
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