Existence and Concentration of Bound States for a p-Laplacian Equation in ℝN

DOI10.1515/ans-2010-0203zbMath1202.35104OpenAlexW2509752796MaRDI QIDQ4932328

Elisandra Gloss

Publication date: 1 October 2010

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2010-0203

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Degenerate elliptic equations (35J70) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Semiclassical states of p-Laplacian equations with a general nonlinearity in critical case ⋮ The nonlinear \((p,q)\)-Schrödinger equation with a general nonlinearity: existence and concentration ⋮ Multi-peak solutions of a class of fractional \(p\)-Laplacian equations ⋮ Normalized solutions for p-Laplacian equations with a \(L^2\)-supercritical growth ⋮ Blow-up phenomena and asymptotic profiles passing from \(H^1\)-critical to super-critical quasilinear Schrödinger equations ⋮ A unified approach to singularly perturbed quasilinear Schrödinger equations ⋮ Existence and concentration of positive solutions for a quasilinear equation in \(\mathbb R^N\) ⋮ Concentration phenomena for a class of fractional Kirchhoff equations in \(\mathbb{R}^N\) with general nonlinearities ⋮ Highly oscillatory solutions of a Neumann problem for a \(p\)-Laplacian equation

Cites Work

• Unnamed Item
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Symmetry and monotonicity of least energy solutions
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Standing waves for nonlinear Schrödinger equations with a general nonlinearity
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Existence of large positive solutions of some nonlinear elliptic $si:equations on singularly perturbed doamins
• On harnack type inequalities and their application to quasilinear elliptic equations

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