Results 31 to 40 of about 366,215 (335)
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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Maximum principles for fourth order nonlinear elliptic equations with applications
Boletim da Sociedade Paranaense de Matemática, 2014 The paper is devoted to prove maximum principles for the certain functionals defined on solution of the fourth order nonlinear elliptic equations. These maximum principle so obtained is used to prove the nonexistence of nontrivial solutions of the fourth
D. B. Dhaigude +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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Smooth approximations for fully nonlinear nonlocal elliptic equations [PDF]
arXiv, 2023 We show that any viscosity solution to a general fully nonlinear nonlocal elliptic equation can be approximated by smooth ($C^\infty$) solutions.
arxiv
Uniqueness for Neumann problems for nonlinear elliptic equations [PDF]
Communications on Pure & Applied Analysis, 2019 In the present paper we prove uniqueness results for solutions to a class of Neumann boundary value problems whose prototype is --div((1 + |$\nabla$u| 2) (p--2)/2 $\nabla$u) -- div(c(x)|u| p--2 u) = f in $ $, (1 + |$\nabla$u| 2) (p--2)/2 $\nabla$u + c(x)|u| p--2 u $\times$ n = 0 on $\partial$$ $,
Maria Francesca Betta +2 more
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Regularity Bootstrapping For Fourth Order Non Linear Elliptic Equations [PDF]
International Mathematics Research Notices, 2019, 2017 We consider nonlinear fourth order elliptic equations of double divergence type. We show that for a certain class of equations where the nonlinearity is in the Hessian, solutions that are C^{2,alpha} enjoy interior estimates on all derivatives.
arxiv +1 more source
Rebuilding ships while at sea—Character individuality, homology, and evolutionary innovation
Journal of Morphology, Volume 284, Issue 1, January 2023., 2023 Building on a previous account of evolutionary innovation, I propose here that evolutionary novelties are those individualized characters that are not homologous to any characters in the ancestor. Integrating functional and structural perspectives, I argue that functional as well as structural considerations are important for character ...
Gerhard Schlosser
wiley +1 more source
Linear and nonlinear convolution elliptic equations [PDF]
Boundary Value Problems, 2013 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 generator of an analytic semigroup. By using these results, the existence and uniqueness of maximal regular solution of the nonlinear convolution equation ...
Ismail Ekincioglu +2 more
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Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift [PDF]
Nonlinear Anal. 185 (2019), 206-215, 2018 We prove an existence result for a quasilinear elliptic equation satisfying natural growth conditions. As a consequence, we deduce an existence result for a quasilinear elliptic equation containing a singular drift. A key tool, in the proof, is the study of an auxiliary variational inequality playing the role of "natural constraint"
arxiv +1 more source
Influence of Staphylococcus epidermidis biofilm on the mechanical strength of soft tissue allograft
Journal of Orthopaedic Research, Volume 41, Issue 2, Page 466-472, February 2023., 2023 Abstract We sought to determine the impact of bacterial inoculation and length of exposure on the mechanical integrity of soft tissue tendon grafts. Cultures of Staphylococcus epidermidis were inoculated on human tibialis posterior cadaveric tendon to grow biofilms. A low inoculum in 10% growth medium was incubated for 30 min to replicate conditions of
Hanna H. Sorensen +9 more
wiley +1 more source