Weak solutions and energy estimates for singular \(p\)-Laplacian-type equations

DOI10.1007/s10883-016-9356-1zbMath1387.35312OpenAlexW2572540591MaRDI QIDQ1702962

Amjad Salari, Shapour Heidarkhani, Jifeng Chu, Giuseppe Caristi

Publication date: 1 March 2018

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-016-9356-1

zbMATH Keywords

energy estimatesweak solutionssingular \(p\)-Laplacian equations

Mathematics Subject Classification ID

Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (8)

Multiple solutions for degenerate nonlocal problems ⋮ Existence results for singular fractional \(p\)-Kirchhoff problems ⋮ Three weak solutions for a degenerate nonlocal singular sub-linear problem ⋮ BVPs with the nonlinearity depending on the fractional derivative ⋮ On the existence and multiplicity of classical and weak solutions of a Hamiltonian integro-differential system and their equivalence relation ⋮ Existence results for a dynamic Sturm-Liouville boundary value problem on time scales ⋮ Ground states of degenerate quasilinear Schrödinger equation with vanishing potentials ⋮ On variational approaches for fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Periodic orbits of a singular superlinear planar system
• A critical point theorem via the Ekeland variational principle
• Nonuniformly elliptic equations of \(p\)-Laplacian type
• Periodic solutions for second order singular damped differential equations
• Functional analysis, Sobolev spaces and partial differential equations
• Variational and non-variational methods in nonlinear analysis and boundary value problems
• A general variational principle and some of its applications
• Solutions of elliptic problems of \(p\)-Laplacian type in a cylindrical symmetric domain
• Multiple solutions for \(p\)-Laplacian type equations
• The solvability of quasilinear Brezis-Nirenberg-type problems with singular weights
• Periodic solutions of second order non-autonomous singular dynamical systems
• A MULTIPLICITY RESULT FOR A CLASS OF EQUATIONS OFp-LAPLACIAN TYPE WITH SIGN-CHANGING NONLINEARITIES
• On the number of positive solutions for nonlinear elliptic equations when a parameter is large
• Remarks on sublinear elliptic equations
• A Singular Nonlinear Boundary Value Problem: Membrane Response of a Spherical Cap
• Weak Solutions and Energy Estimates for a Class of Nonlinear Elliptic Neumann Problems
• Twist periodic solutions for differential equations with a combined attractive-repulsive singularity

This page was built for publication: Weak solutions and energy estimates for singular \(p\)-Laplacian-type equations