Solutions of perturbed p-Laplacian equations with critical nonlinearity

DOI10.1063/1.4773228zbMath1290.35253OpenAlexW1990009787MaRDI QIDQ5396278

Jiangtao Wang, Chunhua Wang

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4773228

zbMATH Keywords

variational methodssign-changing solutionnonlinear elliptic problemscritical non-linearity\(p\)-superlinear, perturbed \(p\)-Laplacian

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Variational methods for higher-order elliptic equations (35J35)

Related Items

Semiclassical states of p-Laplacian equations with a general nonlinearity in critical case, \(p\)-Laplacian type equations via mountain pass theorem in Cerami sense, Solutions of perturbed fractional Schrödinger-Poisson system with critical nonlinearity in \(\mathbb{R}^3 \), Solutions for perturbed biharmonic equations with critical nonlinearity, Multiple positive solutions to critical p-Laplacian equations with vanishing potential

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