A note on asymptotically linear elliptic problems in \(\mathbb R^N\)

DOI10.1016/S0022-247X(02)00143-9zbMath1218.35094OpenAlexW2033349072MaRDI QIDQ1849174

Hossein Tehrani

Publication date: 28 November 2002

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00143-9

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Generalized saddle point theorem and asymptotically linear problems with periodic potential ⋮ On asymptotically linear elliptic equations in \(\mathbb R^N\) ⋮ Existence of solution for Schrödinger equation with discontinuous nonlinearity and asymptotically linear ⋮ Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions ⋮ Existence of solutions for semilinear elliptic equations on \(\mathbb R^N\) ⋮ Existence of three nontrivial solutions for semilinear elliptic equations on \(\mathbb{R}^N\) ⋮ Unnamed Item ⋮ On exterior Neumann problems with an asymptotically linear nonlinearity

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• On a class of resonant problems at higher eigenvalues
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• A boundary value problem with a periodic nonlinearity
• Applying the mountain pass theorem to an asymptotically linear elliptic equation on R^N
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• On the existence of a nontrivial solution to nonlinear problems at resonance
• On a class of asymptotically linear elliptic problems in \(\mathbb R^N\)
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