On an asymptotically \(p\)-linear \(p\)-Laplacian equation in \(\mathbb R^N\)

DOI10.1016/j.na.2010.09.024zbMath1203.35120OpenAlexW49405047MaRDI QIDQ608421

Yuxia Guo, Jia Quan Liu, Xiang-Qing Liu

Publication date: 25 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.024

zbMATH Keywords

\(p\)-Laplaciansign-changing solutionasymptotically \(p\)-linear

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Ground solutions for critical quasilinear elliptic equations via Pohožaev manifold method ⋮ A fractional eigenvalue problem in \(\mathbb{R}^N\) ⋮ SIGN-CHANGING SOLUTIONS FOR AN ASYMPTOTICALLY p-LINEAR p-LAPLACIAN EQUATION IN ℝ^N ⋮ On the eigenvalue problem for the \(p\)-Laplacian operator in \(\mathbb R^N\)

Cites Work

• Unnamed Item
• On a superlinear elliptic equation
• Positive solutions for nonlinear Schrödinger equations with deepening potential well
• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• On multiple solutions for the nonhomogeneous \(p\)-Laplacian with a critical Sobolev exponent
• Quasilinear equations with a multiple bifurcation
• On the existence of sign changing solutions for semilinear Dirichlet problems
• Schrödinger type equations with asymptotically linear nonlinearities
• On a superlinear elliptic \(p\)-Laplacian equation.
• Local behavior of solutions of quasi-linear equations
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• GLOBAL BRANCH OF SOLUTIONS FOR NON-LINEAR SCHRÖDINGER EQUATIONS WITH DEEPENING POTENTIAL WELL
• Nodal solutions of a p-Laplacian equation
• Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations

This page was built for publication: On an asymptotically \(p\)-linear \(p\)-Laplacian equation in \(\mathbb R^N\)