Boundedness, existence and uniqueness results for coupled gradient dependent elliptic systems with nonlinear boundary condition

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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Orlicz spaces and modular spaces
A singular semilinear problem with dependence on the gradient
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Systems of quasilinear elliptic equations with dependence on the gradient via subsolution-supersolution method
Orlicz spaces and generalized Orlicz spaces
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Singular quasilinear convective elliptic systems in \(\mathbb{R}^N\)
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Corrigendum to: ``Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions
On a quasilinear elliptic problem with convection term and nonlinear boundary condition
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A class of nonlinear elliptic systems with Steklov-Neumann nonlinear boundary conditions
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Moser iteration applied to elliptic equations with critical growth on the boundary
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Nonlinear elliptic equations with a lower-order term depending on the gradient in Orlicz spaces
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Applied Nonlinear Functional Analysis
Direct Methods in the Theory of Elliptic Equations
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Quasilinear elliptic system in exterior domains with dependence on the gradient
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Parametric superlinear double phase problems with singular term and critical growth on the boundary
The sub-supersolution method for variable exponent double phase systems with nonlinear boundary conditions