Uniqueness of solutions to singular p-Laplacian equations with subcritical nonlinearity
Advances in Nonlinear Analysis, 2017 We present a geometric approach to the study of quasilinear elliptic p-Laplacian problems on a ball in ℝn${\mathbb{R}^{n}}$ using techniques from dynamical systems.
Maultsby Bevin
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Three weak solutions to a degenerate quasilinear elliptic system
Le Matematiche, 2019 Summary: Sufficient conditions are established to guarantee the existence of at leastthree weak solutions to a degenerate quasilinear elliptic systemwith three parameters and Dirichlet boundary conditions. An application ofthe main theorem to a scalar elliptic problem is also presented.The proofs in the paper mainly make use of a variational argument ...
J.R. Graef +3 more
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Multiplicity results for perturbed symmetric quasilinear elliptic systems
, 2001 We obtain multiplicity results for perturbed symmetric quasilinear elliptic systems via nonsmooth critical point ...
S. Paleari, SQUASSINA, Marco
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Local boundedness of solutions to quasilinear Elliptic Systems
, 2011 The mathematical analysis to achieve everywhere regularity in the interior of weak solutions to nonlinear elliptic systems usually starts from their local boundedness.
CUPINI, GIOVANNI +5 more
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Partial regularity for quasilinear nonuniformly elliptic systems
Le Matematiche, 1991 We prove the partial regularity of the weak solutions of the quasilinear nonuniformely elliptic system div(A(∇u))=0 under an ellipticity condition which lies between strong ellipticity and Legendre-Hadamard condition.
Michele Frasca, Alexandre V. Ivanov
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Higher order approximation in exponential form based on half-step grid-points for 2D quasilinear elliptic BVPs on a variant domain. [PDF]
MethodsX, 2023 Setia N, Mohanty RK.
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Quasilinear Elliptic Cooperative and Competitive Systems
We study the existence and multiplicity of weak solutions for the following quasilinear elliptic system: \[ \begin{cases} -\mathrm{div}(A_1(x,u_1)\nabla u_1) + \displaystyle\frac{1}{2} D_{u_1}A_1(x,u_1)\nabla u_1 \cdot \nabla u_1 = λ_1 u_1 + g_{β,1}(u) & \text{in } Ω, \\[3mm] -\mathrm{div}(A_2(x,u_2)\nabla u_2) + \displaystyle\frac{1}{2} D_{u_2}A_2(
Canino, Annamaria, Mauro, Simone
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Radial solutions for a quasilinear elliptic system of Schrödinger type
Computers & Mathematics with Applications, 2013 10 ...
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On the strong maximum principle for quasilinear elliptic equations and systems
Advances in Differential Equations, 2002 CMM
Felmer, Patricio L., Quaas, Alexander
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QUASILINEAR ELLIPTIC SYSTEMS OF RESONANT TYPE AND NONLINEAR EIGENVALUE PROBLEMS [PDF]
, 2020 This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem.
Pablo L De, M Cristina Mariani
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