Anisotropic nonlocal problem with discontinuous nonlinearities

DOI10.1007/s41808-021-00130-zzbMath1480.35205OpenAlexW3207556600MaRDI QIDQ2061664

Mohamed Mamchaoui, Sabri Bensid

Publication date: 16 December 2021

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-021-00130-z

zbMATH Keywords

existencevariational methodsdiscontinuous nonlinearityanisotropic Kirchhoff equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Cites Work

• On sequences of solutions for discrete anisotropic equations
• A note on discontinuous problem with a free boundary
• Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient
• Existence of solution for a anisotropic equation with critical exponent.
• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
• Local vs. non-local interactions in population dynamics
• Some discontinuous variational problems
• Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• The dual variational principle and elliptic problems with discontinuous nonlinearities
• Some discontinuous problems with a quasilinear operator
• Asymptotic behaviour of the solutions of nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient
• Existence of nontrivial solution for a nonlocal problem with subcritical nonlinearity
• A critical anisotropic problem with discontinuous nonlinearities
• Variational analysis of anisotropic Schrödinger equations without Ambrosetti-Rabinowitz-type condition
• Elliptic problems with discontinuities.
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
• Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method
• On nonlocal \(p(x)\)-Laplacian Dirichlet problems
• Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
• Existence results for some anisotropic singular problems via sub-supersolutions
• Ni-Serrin type equations arising from capillarity phenomena with non-standard growth
• On a free boundary problem
• A critical Kirchhoff type problem involving a nonlocal operator
• Asymptotic stability for Kirchhoff systems in variable exponent Sobolev spaces
• Generalized Gradients and Applications
• Existence results for an anisotropic nonlocal problem involving critical and discontinuous nonlinearities
• Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities
• On Existence Results for an Anisotropic Elliptic Equation of Kirchhoff-Type by a Monotonicity Method
• Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem
• Existence and Regularity Results for Anisotropic Elliptic Problems
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
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