Results 101 to 110 of about 1,290,485 (220)
Concentration and dynamic system of solutions for semilinear elliptic equations
Electronic Journal of Differential Equations, 2003 In this article, we use the concentration of solutions of the semilinear elliptic equations in axially symmetric bounded domains to prove that the equation has three positive solutions. One solution is y-symmetric and the other are non-axially symmetric.
Tsung-fang Wu
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Oscillation criteria for semilinear elliptic equations with a damping term in R^n
Electronic Journal of Differential Equations, 2010 We use a method based on Picone-type identities to find oscillation conditions for the equation $$ sum_{i j =1}^n frac{partial}{partial x_i} Big( a_{ij}(x) frac{partial}{partial x_j} Big)u + f(x,u, abla u) + c(x) u =0,, $$ with Dirichlet boundary ...
Tadie
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Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition
International Journal of Mathematics and Mathematical Sciences, 2011 This paper considers bifurcation at the principal eigenvalue of a class of gradient operators which possess the Palais-Smale condition. The existence of the bifurcation branch and the asymptotic nature of the bifurcation is verified by using the ...
Elliot Tonkes
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Semilinear elliptic equations involving fractional Hardy operators
, 2023 Our aim in this article is to study semilinear elliptic equations involving a fractional Hardy operator, an absorption and a Radon source in a weighted distributional sense.
Chen, Huyuan +2 more
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Optimal control of stochastic partial differential equations in Banach spaces [PDF]
, 2010 In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
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On semilinear elliptic equations with indefinite nonlinearities
, 2018 : "This paper concerns semilinear elliptic equations whose nonlinear term has the form W(x)f(u) where W changes sign. We study the existence of positive solutions and their multiplicity. The important role played by the negative part of W is contained in
Gabriella Tarantello (5364638) +1 more
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Comparison results for semilinear elliptic equations via Picone-type identities
Electronic Journal of Differential Equations, 2009 By means of a Picone's type identity, we prove uniqueness and oscillation of solutions to an elliptic semilinear equation with Dirichlet boundary conditions.
Tadie
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Decaying solutions for semilinear elliptic equations in exterior domains
, 1999 The existence of radial solutions for some semilinear elliptic equations in an exterior domain is established under sublinearity or sign assumption imposed on the ...
Stańczy, Robert
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A singular perturbation result for a class of periodic-parabolic BVPs
Open MathematicsIn this article, we obtain a very sharp version of some singular perturbation results going back to Dancer and Hess [Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Lecture Notes in Mathematics, Vol. 1450, Springer-Verlag,
Cano-Casanova Santiago +2 more
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Convexity of solutions to elliptic PDE's
Electronic Journal of Differential EquationsThis article concerns the convexity or concavity of solutions to special second order elliptic partial differential equations in convex domains. We concentrate our investigation to boundary blow up solutions as well as to solutions of particular ...
Benyam Mebrate, Giovanni Porru
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