The MathNet Korea
Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Communications in Partial Differential Equations
( Vol. 23 NO.11 / (1998))
Global Bifurcation Results for Semilinear Elliptic Problems in $\mathbb R^N$

Pages. 1875-1927
Abstract 1. Introduction 2. Auxiliary results 2.1 Rabinowitz theorem 3. First examle : Positive sublinear nonlinearities like $f (u) = U^{\alpha} , \alpha =in ]0, 1[$ 3.1 Main results 3.2 Existence and properties of solutions of $(P_R)$ 3.3 Global bifurcation for problem (P) 4. Second example : sublinear nonlinearities like $f (u) = |u|^{p-1} u - |u|^{q-1} U, 1 4.1 Main result 4.2 A proiri bounds for the local problem 4.3 Existenceof a global branch of positive dolutions for the problem (P) 4.4 Generalization 5.Another example in the sublinear case 5.1 Main result 5.2 Local estimates for$(P_R)$5.3 Existence of a global branch of solutions of (P) 6. An example in a superlinear case 6.1 Main result 6.2 A priori estimates for the solution of$(P_R)\$ 6.3 Global branch of solutions of (P)