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Abstract: We study the existence of positive and sign-changing multipeak solutions forthe stationary Nonlinear Schroedinger Equation. Here no symmetry on $V$ isassumed. It is known that this equation has positive multipeak solutions withall peaks approaching a local maximum of the potential. It is also proved thatsolutions alternating positive and negative spikes exist in the case of aminima. The aim of this paper is to show the existence of both positive andsign-changing multipeak solutions around a nondegenerate saddle point of theexternal potential.



Author: Teresa D'Aprile, David Ruiz

Source: https://arxiv.org/







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