Two types of quasilinear elliptic equations with degenerate coerciveness and slightly superlinear growth

DOI10.1016/j.aml.2015.02.009zbMath1322.35037OpenAlexW2032354491MaRDI QIDQ494524

Youjun Wang, Yao-Tian Shen

Publication date: 1 September 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.02.009

zbMATH Keywords

quasilinear elliptic equationsdegenerate coercivenessslightly superlinear growth

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (7)

Existence and concentration behavior of ground state solutions for a class of generalized quasilinear Schrödinger equations in \(\mathbb{R}^N\) ⋮ Some existence results on a class of generalized quasilinear Schrödinger equations with Choquard type ⋮ Ground states for a class of generalized quasilinear Schrödinger equations in \(\mathbb R^N\) ⋮ Ground state sign-changing solutions for a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbation ⋮ Existence of ground state sign-changing solutions for a class of generalized quasilinear Schrödinger-Maxwell system in \(\mathbb R^3\) ⋮ Existence and nonexistence of positive solutions for a class of generalized quasilinear Schrödinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponent ⋮ Existence and asymptotic behavior of standing wave solutions for a class of generalized quasilinear Schrödinger equations with critical Sobolev exponents

Cites Work

• Sign-changing critical points for noncoercive functionals
• Existence of solutions for elliptic equations without superquadraticity condition
• Positive solution for \(-\Delta_ p u=f(x,u)\) with \(f(x,u)\) growing as \(u^{p-1}\) at infinity.
• Dual variational methods in critical point theory and applications
• Existence results for semilinear elliptic equations with some lack of coercivity
• 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
• Variational elliptic problems which are nonquadratic at infinity
• Asymptotically linear Dirichlet problem for the \(p\)-Laplacian

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