排序方式: 共有11条查询结果,搜索用时 15 毫秒
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Walter Dambrosio 《Results in Mathematics》1999,36(1-2):34-54
We prove a multiplicity result for weakly-coupled systems with p-laplacian operators of the form $$(\phi_{pi}(u_{i}^{\prime}))^{\prime}+gi(u_i)=h_i(t,u,u^\prime),\qquad t\ \in \ (0,1),\qquad$$ Neumann boundary conditions are assumed and the nonlinearity is supposed to be superlinear asymmetric. We use a topological degree method based on a continuation theorem and on the performance of a time-map technique for the unperturbed case. 相似文献
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We prove the existence of multiple solutions for some systems of second order ODEs with Dirichlet boundary conditions. Such systems are obtained by coupling scalar ODEs with different growth conditions. The proof relies on a global continuation technique. 相似文献
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Anna Capietto Walter Dambrosio Bin Liu 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2009,59(2):1007-1034
We study a second order scalar equation of the form x′′ + V′(x) = p(t), where p is a π-perodic function and V is a singular potential. We give sufficient conditions on V, p ensuring that all solutions are bounded; we prove the existence of Aubry–Mather sets as well. 相似文献
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Anna Capietto Walter Dambrosio Fabio Zanolin 《Annali di Matematica Pura ed Applicata》2001,179(1):159-188
In this paper we are concerned with the existence and multiplicity of radial solutions to the BVP whereB is an open ball in ?K and u??·(a(|?u|)?u) is a nonlinear differential operator (e.g. the plaplacian or the mean curvature operator). The function f is defined in a neighborhood of u=0 and satisfies a «sublinear»-type growth condition for u→0. We use a degree approach combined with a time-map technique. Multiplicity results are obtained also for nonlinearities of concave-convex type. 相似文献