Multiple interior and boundary peak solutions to singularly perturbed nonlinear Neumann problems under the Berestycki–Lions condition
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DOI: 10.1007/s00208-016-1412-3
Abstract: Let $$\varOmega $$Ω be a smooth bounded domain in $$\mathbb {R}^N$$RN, $$N\ge 3$$N≥3. We consider the following singularly perturbed nonlinear elliptic problem on $$\varOmega $$Ω, $$\begin{aligned} \varepsilon ^2\varDelta v-v+f(v)=0,\quad v>0\ \text {on}\ \varOmega ,\qquad \frac{\partial… read more here.
Keywords: multiple interior; singularly perturbed; berestycki lions; perturbed nonlinear ... See more keywords