Multiple solutions for p(x)${p(x)}$‐curl systems with nonlinear boundary condition

DOI10.1002/mana.201900236zbMath1523.35128OpenAlexW4213212699MaRDI QIDQ6047515

Jianfang Lu, Bin Ge

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201900236

zbMATH Keywords

critical pointmultiple solutionsvariational method\(p(x)\)-curl systems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for higher-order elliptic equations (35J35) Boundary value problems for systems of nonlinear higher-order PDEs (35G60)

Cites Work

• Unnamed Item
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• Blow-up and finite time extinction for \(p(x,t)\)-curl systems arising in electromagnetism
• Existence and multiplicity of solutions for \(p(x)\)-curl systems arising in electromagnetism
• The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
• Singular solutions of the \(p\)-Laplace equation
• On the modeling of electrorheological materials
• Existence and multiplicity of solutions for Kirchhoff-Schrödinger type equations involving \(p(x)\)-Laplacian on the entire space \(\mathbb{R}^N\)
• Regularity results for stationary electro-rheological fluids
• Infinitely many solutions for semilinear Schrödinger equations with sign-changing potential and nonlinearity
• Existence and multiplicity of solutions for \(p(x)\)-curl systems without the Ambrosetti-Rabinowitz condition
• Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
• A Variant of Clark's Theorem and Its Applications for Nonsmooth Functionals without the Palais--Smale Condition
• A CLASS OF STATIONARY NONLINEAR MAXWELL SYSTEMS
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Notes on the Stationary p-Laplace Equation
• Existence and nonexistence of solutions for p(x)-curl systems arising in electromagnetism
• Variable Exponent, Linear Growth Functionals in Image Restoration

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