Spike solutions for a class of singularly perturbed quasilinear elliptic equations.

DOI10.1016/S0362-546X(03)00188-3zbMath1274.35100arXivmath/0303006MaRDI QIDQ1406779

Marco Squassina

Publication date: 7 September 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303006

zbMATH Keywords

Palais-Smale conditionquasilinear elliptic equationsnonsmooth critical point theoryconcentration phenomenaPucci-Serrin identity

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (3)

Positive solutions for a class of singular quasilinear Schrödinger equations with critical Sobolev exponent ⋮ On a class of singularly perturbed elliptic equations in divergence form: existence and multiplicity results ⋮ Multiplicity of positive solutions for a class of elliptic equations in divergence form

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