Arbitrary many peak solutions for a bi-harmonic equation with nearly critical growth

DOI10.1016/j.jmaa.2012.09.032zbMath1322.35019OpenAlexW1989666481MaRDI QIDQ695121

ZhongYuan Liu

Publication date: 20 December 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.09.032

zbMATH Keywords

critical Sobolev exponentbiharmonic operatorarbitrary many peak solutions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) Critical exponents in context of PDEs (35B33) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (3)

Infinitely many peak solutions for a biharmonic equation involving critical exponent ⋮ Concentrating solutions for a biharmonic problem with supercritical growth ⋮ Concentration of solutions for the fractional Nirenberg problem

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