DTIC ADA100612: On the Existence of Positive pdf

DTIC ADA100612: On the Existence of Positive

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In this paper we study the existence of positive solutions of semilinear elliptic equations. Various possible behaviors of the nonlinearity are considered and in each case nearly optimal multiplicity results are obtained. The results are also interpreted in terms of bifurcation diagrams. (Author

• Creator/s: Defense Technical Information Center
• Date: 4/1/1981
• Year: 1981
• Book Topics/Themes: DTIC Archive, Lions, P L, WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER, *MATHEMATICAL LOGIC, *TOPOLOGY, *BOUNDARY VALUE PROBLEMS, *ELLIPSES, EIGENVALUES, PARTIAL DIFFERENTIAL EQUATIONS, PERTURBATIONS, SCALAR FUNCTIONS, CONVEX SETS, THEOREMS, BANACH SPACE, DIRICHLET INTEGRAL

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