A. Szulkin

activity

20122026

most citedA simple variational approach to weakly coupled competitive elliptic systems

39 citations · 98 across the 17 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.AP2012

Multiple solutions to nonlinear Schrödinger equations with singular electromagnetic potential

Mónica Clapp, Andrzej Szulkin

We consider the semilinear electromagnetic Schrödinger equation (-i\nabla+A(x))^{2}u + V(x)u = |u|^{2^{\ast}-2}u, u\in D_{A,0}^{1,2}(Ω,\mathbb{C}), where $Ω=(\mathbb{R}^{m}\smallse…

math.AP2012★ 17 cited

A concentration phenomenon for semilinear elliptic equations

Nils Ackermann, Andrzej Szulkin

For a domain $Ω\subset\dR^N$ we consider the equation $ -Δu + V(x)u = Q_n(x)\abs{u}^{p-2}u$ with zero Dirichlet boundary conditions and $p \in (2, 2^{*})$ . Here $V \geq 0$ and $Q_{n}$ are b…