{"product_id":"9780821891636","title":"Semiclassical Standing Waves with Clustering Peaks for Nonlinear Schrodinger Equations","description":"\u003cp\u003eThe authors study the following singularly perturbed problem: $-\\epsilon^2\\Delta u+V(x)u = f(u)$ in $\\mathbf{R}^N$. Their main result is the existence of a family of solutions with peaks that cluster near a local maximum of $V(x)$. A local variational and deformation argument in an infinite dimensional space is developed to establish the existence of such a family for a general class of nonlinearities $f$.\u003c\/p\u003e","brand":"AMS","offers":[{"title":"Default Title","offer_id":47031565123824,"sku":"9780821891636","price":71.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780821891636_p0.jpg?v=1763751414","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780821891636","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}