Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms [PDF]
Caihong Chang, Bei Hu, Zhengce Zhang
semanticscholar +1 more source
Quasilinear elliptic equations with signed measure
This paper treats quasilinear elliptic equations in divergence form whose inhomogeneous term is a signed measure. We first prove the existence and continuity of generalized solutions to the Dirichlet problem. The main result of this paper is a weak convergence result, extending previous work of the authors for subharmonic functions and non ...
Wang, Xu-Jia, Trudinger, Neil
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The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation. [PDF]
Baumann P, Mazari-Fouquer I, Sturm K.
europepmc +1 more source
In this paper, we suggest a new exponential implicit method based on full step discretization of order four for the solution of quasilinear elliptic partial differential equation of the form A(x,y,z)zxx+C(x,y,z)zyy=k(x,y,z,zx,zy) $A ( x,y,z ) z_{xx} +C (
R. K. Mohanty +2 more
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The Keldys-Fichera boundary value problems for degenerate quasilinear elliptic equations of second order [PDF]
Tian Ma, Qing Yu
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Existence of multiple weak solutions to a weighted quasilinear elliptic equation
In this study, we explore the existence of solutions to certain quasilinear degenerate elliptic equations that involve Hardy singular coefficients. Using variational techniques and critical point theorems, we establish new criteria for the existence of ...
Khaled Kefi
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Local Well-Posedness of Skew Mean Curvature Flow for Small Data in d ≥ 4 Dimensions. [PDF]
Huang J, Tataru D.
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Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings
In this paper we prove the existence of a nontrivial non-negative radial solution for a quasilinear elliptic problem. Our aim is to approach the problem variationally by using the tools of critical points theory in an Orlicz-Sobolev space. A multiplicity
Azzollini, Antonio +2 more
core
Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities [PDF]
W. B. Liu, John W. Barrett
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Existence of bounded solutions for some degenerated quasilinear elliptic equations [PDF]
Pavel Drábek, Francesco Nicolosi
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