Solutions for a nonlocal elliptic system with general growth

DOI10.1007/s11785-023-01444-7zbMath1526.35157OpenAlexW4388340911MaRDI QIDQ6068154

Leandro S. Tavares, Lamine Mbarki, Unnamed Author

Publication date: 10 November 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-023-01444-7

zbMATH Keywords

existence\(p\)-LaplacianDirichlet conditionnonlocal system

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• On the existence of positive solutions for a nonlocal elliptic problem involving the \(p\)-Laplacian and the generalized Lebesgue space \(L^{p(x)}(\Omega )\).
• A sub-supersolution method for a class of nonlocal problems involving the \(p(x)\)-Laplacian operator and applications
• Global existence and blow-up to a degenerate reaction-diffusion system with nonlinear memory
• Combined effects of concave and convex nonlinearities in some elliptic problems
• On some model diffusion problems with a nonlocal lower order term
• Positive solutions for a class of nonlocal problems involving Lebesgue generalized spaces: scalar and system cases
• Blow-up and global existence for a nonlocal degenerate parabolic system
• A quasilinear problem with fast growing gradient
• Existence of radial solutions for a \(p(x)\)-Laplacian Dirichlet problem
• Singular solutions of a \(p\)-Laplace equation involving the gradient
• Existence and behavior of the solutions for an elliptic equation with a nonlocal operator involving critical and discontinuous nonlinearity
• Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method
• On a class of intermediate local-nonlocal elliptic problems
• A sub-supersolution approach for some classes of nonlocal problems involving Orlicz spaces
• A fourth order singular elliptic problem involving \(p\)-biharmonic operator
• On interior regularity of minimizers of \(p(x)\)-energy functionals
• Boundary regularity for solutions of degenerate elliptic equations
• Some remarks on non local elliptic and parabolic problems
• 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
• Nonlinear nonhomogeneous Neumann problem on the Heisenberg group
• GLOBAL EXISTENCE AND BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLOCAL SOURCE
• Sub-supersolution method for a singular problem involving the Φ-Laplacian and Orlicz–Sobolev spaces
• Positive Solutions for a Class of Nonlocal Elliptic Problems
• Existence of positive solutions for nonlocal and nonvariational elliptic systems
• On the non-linear vibration problem of the elastic string
• Multiple solutions for a class of problems involving the p(x)-Laplacian operator
• Nonlinear elliptic systems
• The blow-up rate for a degenerate parabolic equation with a non-local source
• Existence of solutions for a quasilinear problem with fast nonlocal terms

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