Zeitschrift für Analysis und ihre Anwendungen Vol. 18, No. 3, pp. 525537 (1999) 

Some Surprising Results on a OneDimensional Elliptic Boundary Value BlowUp ProblemY. J. ChengUniv. of Malmö, School of Techn. and Management., 205 06 Malmö, SwedenAbstract: In this paper we consider the onedimensional elliptic boundary blowup problem $$\left.\eqalign{ &\Delta_pu = f(u) \ \ (a < t < b) \cr &u(a)=u(b) = +\infty \cr} \right\} $$ where $\Delta_p u = \big(u'(t)^{p2}u'(t)\big)'$ is the usual $p$Laplace operator. We show that the structure of the solutions can be very rich even for a simple function $f$ which gives a leading that a simliar results might hold also in higher dimensional spaces Keywords: boundary blowup, multiplicity, concave and convex nonlinearity Classification (MSC2000): 34B, 35J Full text of the article:
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