A concentration phenomenon for semilinear elliptic equations

DOI10.1007/s00205-012-0589-1zbMath1266.35074arXiv1206.3196OpenAlexW2138721106MaRDI QIDQ1944729

Nils Ackermann, Andrzej Szulkin

Publication date: 27 March 2013

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3196

zbMATH Keywords

semilinear elliptic equationconcentration phenomena

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear elliptic equations (35J61)

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Limiting profile of solutions for sublinear elliptic equations with shrinking self-focusing core ⋮ Existence of standing waves solution for a nonlinear Schrödinger equation in \(\mathbb{R}^N\) ⋮ The limiting profile of solutions for semilinear elliptic systems with a shrinking self-focusing core ⋮ On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method ⋮ A concentration behavior for semilinear elliptic systems with indefinite weight ⋮ Limiting profile of solutions for Schrödinger equations with shrinking self-focusing core ⋮ A concentration phenomenon for \(p\)-Laplacian equation

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