Results 61 to 70 of about 2,594 (170)
Bounds for nonlinear eigenvalue problems
Electronic Journal of Differential Equations, 2001 We develop a technique for obtaining bounds on bifurcation curves of nonlinear boundary-value problems defined through nonlinear elliptic partial differential equations.
Rafael D. Benguria +1 more
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Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions.
R. Bader, W. Merz
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Semilinear problems with bounded nonlinear term
Boundary Value Problems, 2005 We solve boundary value problems for elliptic semilinear equations in which no asymptotic behavior is prescribed for the nonlinear term.
Martin Schechter
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Nonlinear elliptic equations and Gauss measure
Le Matematiche, 2006 We prove existence and regularity results for weak solutions to nonlinear elliptic equations.
Giuseppina Di Blasio, Filomena Feo
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Electronic Journal of Differential Equations, 2005 When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
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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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Exact Solutions of a Class of Nonlinear Elliptic Systems of a Special Type
Известия Иркутского государственного университета: Серия "Математика", 2015 In paper the problem of construction of exact solutions for nonlinear system of two equations of elliptic type is studied. Nonlinear systems of the equations of elliptic type are applied as mathematical models in the theory warm and a mass transfer of ...
A.A. Kosov, E.I. Semenov
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A Note on a Nonlinear Elliptic Equation [PDF]
Indiana University Mathematics Journal, 1972 openaire +1 more source
Dimension of the set of positive solutions to nonlinear equations and applications
Electronic Journal of Differential Equations, 2016 We study the covering dimension of the set of (positive) solutions to various classes of nonlinear equations involving condensing and A-proper maps. It is based on the nontriviality of the fixed point index of a certain condensing map or on oddness ...
Petronije S. Milojevic
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Multiplicity results for nonlinear elliptic equations
Electronic Journal of Differential Equations, 2006 Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud +2 more
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