Existence of infinitely many solutions for \(\Delta_\gamma\)-Laplace problems

DOI10.1134/S000143461805005XzbMath1400.35119OpenAlexW2810822493MaRDI QIDQ1668064

Duong Thi Huong, Duong Trong Luyen, Le Thi Hong Hanh

Publication date: 31 August 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461805005x

zbMATH Keywords

Dirichlet problemvariational method\(\Delta_\gamma\)-Laplace operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (10)

Multiple solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations ⋮ Infinitely many solutions for Kirchhoff-type equations involving degenerate operator ⋮ Existence of ground state solution for semilinear -Laplace equation ⋮ Multiple solutions to boundary-value problems for fourth-order elliptic equations ⋮ Three nontrivial solutions of boundary value problems for semilinear $\Delta_{\gamma}-$Laplace equation ⋮ Unnamed Item ⋮ Picone's identity for \(\Delta_\gamma \)-Laplace operator and its applications ⋮ Infinitely many solutions for a class of perturbed degenerate elliptic equations involving the Grushin operator ⋮ Unnamed Item ⋮ Infinitely many solutions for perturbed \(\Delta_\gamma\)-Laplace equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Large-time behavior of solutions to degenerate damped hyperbolic equations
• Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators
• On semilinear \(\mathbf \Delta_\lambda\)-Laplace equation
• Nontrivial solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations
• Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
• Periodic solutions for a class of non-autonomous Hamiltonian systems
• Superlinear problems
• Superlinear problems without Ambrosetti and Rabinowitz growth condition
• On superlinear problems without the Ambrosetti and Rabinowitz condition
• Critical Sobolev exponent for degenerate elliptic operators
• Existence of infinitely many solutions for semilinear degenerate Schrödinger equations
• Applications of local linking to critical point theory
• Dual variational methods in critical point theory and applications
• Infinitely many solutions for a class of semilinear elliptic equations
• Existence of solutions to boundary-value problems for semilinear \(\Delta_\gamma\) differential equations
• Two nontrivial solutions of boundary-value problems for semilinear \(\Delta_\gamma\)-differential equations
• Multiple solutions for quasilinear Schrödinger equations with a parameter
• Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator
• Existence of solutions to Δ_λ-Laplace equations without the Ambrosetti–Rabinowitz condition
• On the Ambrosetti-Rabinowitz Superlinear Condition
• N-Laplacian Equations in ℝ^N with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition
• Liouville-type theorems for elliptic inequalities involving the Δ_λ-Laplace operator

This page was built for publication: Existence of infinitely many solutions for \(\Delta_\gamma\)-Laplace problems