Results 31 to 40 of about 516,813 (372)
A fully nonlinear version of the Yamabe problem and a Harnack type inequality [PDF]
, 2002 We present some results on a fully nonlinear version of the Yamabe problem and a Harnack type inequality for general conformally invariant fully nonlinear second order elliptic ...
Li, Aobing, Li, Yanyan
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$$C^{2,\alpha }$$C2,α estimates for nonlinear elliptic equations in complex and almost complex geometry [PDF]
, 2014 We describe how to use the perturbation theory of Caffarelli to prove Evans–Krylov type $$C^{2,\alpha }$$C2,α estimates for solutions of nonlinear elliptic equations in complex geometry, assuming a bound on the Laplacian of the solution.
Valentino Tosatti +3 more
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Existence of entropy solutions for nonlinear elliptic equations in Musielak framework with L1 data
, 2018 We prove existence of solutions for strongly nonlinear elliptic equations of the form $$ \left\{\begin{array}{c} A(u)+g(x,u,\nabla u)=f+\mbox {div}(\phi(u))\quad \textrm{in }\Omega, \\ u\equiv0\quad \partial \Omega.
Elemine Vall Mohamed Saad Bouh +3 more
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On a Class of Fully Nonlinear Elliptic Equations on Closed Hermitian Manifolds II: L∞ Estimate [PDF]
, 2014 We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. Under the assumption of the cone condition, we derive the L∞ estimate directly. As an application, we solve the complex quotient equations on closed Kähler manifolds. ©
Weiling Sun
semanticscholar +1 more source
Infinitely Many Elliptic Solutions to a Simple Equation and Applications
Abstract and Applied Analysis, 2013 Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems.
Long Wei, Yang Wang
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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
International Journal of Mathematics and Mathematical Sciences, 1989 The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
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Applied Sciences, 2022 Calculating the large deflection of a cantilever beam is one of the common problems in engineering. The differential equation of a beam under large deformation, or the typical elastica problem, is hard to approximate and solve with the known solutions ...
Chencheng Lian +3 more
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A Symmetrization Result for Nonlinear Elliptic Equations
Revista Matemática Complutense, 2004 The authors consider the following problem \[ -\Delta_pu=c|u|^{p-2}u+f\text{ in }\Omega\qquad u=0\text{ on }\partial\Omega,\tag{1} \] where \(\Delta_p\) is the \(p\)-Laplacian operator, \(p>1\), and \(c,f\) are bounded given functions. Under some natural assumptions on the data of (1), the authors prove that the rearrangement of \(u\) can be estimated ...
FERONE, VINCENZO, MESSANO, BASILIO
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F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation
The Scientific World Journal, 2014 F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number
Ali Filiz +2 more
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On the nonlinear elliptic equations with symmetry
Journal of Mathematical Analysis and Applications, 1981 has a smooth solution with norm r in the appropriate function space. This theorem is based on an infinite-dimensional analogue of the following theorem of Borsuk: if D c R” is the unit disc in the euclidean space then for every odd mapping J D + Rk, k 1, then there is no G-equivariant mapf: S(v) + w\(O).
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