On De La Vallée Poussin-type inequalities in higher dimension and applications

DOI10.1016/J.AML.2018.07.015zbMath1407.35035OpenAlexW2884540774MaRDI QIDQ1726469

Ravi P. Agarwal, Mohamed Jleli, Bessem Samet

Publication date: 20 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2018.07.015

zbMATH Keywords

Dirichlet boundary conditionsign-changing criteria

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Singular elliptic equations (35J75)

Related Items (5)

Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems ⋮ Nonzero solutions for nonlinear systems of fourth-order boundary value problems ⋮ De La Vallée Poussin inequality for impulsive differential equations ⋮ Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives ⋮ Inequality criteria for existence of solutions to some fractional partial differential equations

Cites Work

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• Signed and sign-changing solutions for a Kirchhoff-type equation in bounded domains
• Lyapunov-type inequalities for fractional partial differential equations
• Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues
• A sign-changing solution for a superlinear Dirichlet problem
• On the existence of sign changing solutions for semilinear Dirichlet problems
• Lyapunov-type inequalities for a fractional \(p\)-Laplacian system
• Applications of a one-dimensional Sobolev inequality to eigenvalue problems
• Some Opial, Lyapunov, and de la Valée Poussin inequalities with nonhomogeneous boundary conditions
• Lyapunov inequalities for partial differential equations
• ON AN OSCILLATION CRITERION OF DE LA VALLÉE POUSSIN
• A high-linking algorithm for sign-changing solutions of semilinear elliptic equations
• On Lyapunov-type inequalities for a certain class of partial differential equations
• ON A CLASS OF HYPOELLIPTIC OPERATORS
• On a Liapounoff Criterion of Stability
• On the Non-Existence of Conjugate Points
• On an Oscillation Criterion of Liapounoff
• On an oscillation criterion of de la Valleé Poussin
• Lyapunov-type inequalities for partial differential equations

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