Nonlinear Elliptic Equations
Poincaré Problem for Nonlinear Elliptic Equations of Second Order in Unbounded Domains
... order elliptic equations, but it can not be ...for nonlinear elliptic equations of second order in some bounded ...general nonlinear elliptic equations of second ...
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Uniqueness of weak solution for nonlinear elliptic equations in divergence form
... In this paper, we demonstrate the uniqueness of weak solution of the Dirichlet problem for divergence structure elliptic equations of the form.. Here, we consider the same problem for we[r] ...
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Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
... a nonlinear elliptic equation in which the divergence form operator − div(a(x, ∇ u)) is ...many nonlinear dif- fusion problems, in particular in the mathematical modeling of non-Newtonian fluids (see ...
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Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and L1 Data
... evolution equations case ...and nonlinear elliptic and parabolic equations when the diffusion coefficient has a singularity for a finite value of the unknown see Garc´ ıa V´azquez and Orteg ´on ...
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The Leray-Schauder Degree as Topological Method Solution of Nonlinear Elliptic Equations
... linear elliptic differential operators with Holder continuous coefficient as well as a variant of the Lery - Schauder method and the gal of this paper to find an adequate degree theory for the infinite dimensional ...
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Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media
... and a is an nonnegative measurable weight function that is allowed to have “essential” zeroes at some points. Problems like this have a long history (see the pioneering papers [3, 16, 17, 18, 22]) and come from the ...
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The existence and uniqueness of the solution for nonlinear elliptic equations in Hilbert spaces
... of nonlinear Kolmogorov equations and found that the mild solution coincides with the value function of the control ...semilinear elliptic differential equations in Hilbert spaces were obtained ...
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The basin of attraction method for a kind of nonlinear elliptic equations
... Feng, YQ, Wang, ZY, Wen, CJ: Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations.[r] ...
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Entire positive solution to the system of nonlinear elliptic equations
... Zou, Existence of positive entire solutions of elliptic Hamiltonian systems , Com- munications in Partial Di ff erential Equations 23 (1998), no... Yao, On a singular nonlinear semilinear[r] ...
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Picone type inequalities for nonlinear elliptic equations with first order terms and their applications
... Beginning with the work of Picone [11], Picone identity has been investigated by many authors. In particular, we refer the reader to Allegretto [2], Kreith [8], Protter [12], Swan- son [13] and the references cited ...
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Altered Jacobian Newton Iterative Method for Nonlinear Elliptic Problems
... [11] Holst, M., MCLite: An Adaptive Multilevel Finite Element MATLAB Package for Scalar Nonlinear Elliptic Equations in the Plane , UCSD Technical report and guide to the MCLite software package. ...
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Existence and uniqueness of solutions for a semilinear elliptic system
... We consider the existence, the nonexistence, and the uniqueness of solutions of some special systems of nonlinear elliptic equations with boundary conditions. In a particu- lar case, the system ...
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Multiple solutions for the p-Laplacian problem with supercritical exponent
... Brezis, H, Nirenberg, L: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponent.. Commun.[r] ...
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Symmetry of solutions to parabolic Monge-Ampère equations
... of elliptic equations have been generalized and extended by many ...fully nonlinear elliptic equations on smooth domains, and Berestycki and Niren- berg [] found a way to deal with ...
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Invariant manifold of hyperbolic elliptic type for nonlinear wave equation
... bedding of a rotational invariant n-torus for the nonlinear equation (1.1). Remark 1.2 . The image Φ ( ᐀ J [ Ꮿ ]) of ᐀ J [ Ꮿ ] we call a Cantor manifold of rotational n-tori. This manifold is ...
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Nontrivial solutions of second-order singular Dirichlet systems
... In this paper, we established the multiplicity of nontrivial solutions for a second-order Dirichlet system by a well-known fixed point theorem in cones and the Leray-Schauder alternative principle. Some recent results in ...
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Linear and nonlinear convolution elliptic equations
... In this paper, the separability properties of elliptic convolution operator equations are investigated. It is obtained that the corresponding convolution-elliptic operator is positive and also is a ...
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Multiple Solutions for a Class of Semilinear Elliptic Equations with Nonlinear Boundary Conditions
... ABSTRACT In this paper, using Local Linking Theorem, we obtain the existence of multiple solutions for a class of semilinear elliptic equations with nonlinear boundary conditions, in whi[r] ...
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The obstacle problem for nonlinear noncoercive elliptic equations with \(L^{1}\)-data
... for elliptic operators with nonlinear variational energies was considered in [12] and linear elliptic systems involving Radon measures were considered in ...
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Extinction in finite time of solutions to the nonlinear diffusion equations involving p(x,t)-Laplacian operator
... Model (.) may describe some properties of electro-rheological fluids which change their mechanical properties dramatically when an external electric field is applied. The variable exponent p in model (.) is a function ...
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