Results 21 to 30 of about 3,081 (308)
Generalized Solutions for Nonlocal Elliptic Equations and Systems with Nonlinear Singularities
Abstract and Applied Analysis, 2015 We use the topological degree method to study the existence of solutions for nonlocal elliptic equations (systems) with a strong singular nonlinearity.
Youtao Wang, Guangcun Lu
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Schlafli modular equations for generalized Weber functions [PDF]
, 2008 Sets of appropriately normalized eta quotients, that we call level n Weber functions, are defined, and certain identities generalizing Weber function identities are proved for these functions.
William B. Hart, Hart, William B.
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Solvability of quasilinear elliptic equations with strong dependence on the gradient
Abstract and Applied Analysis, 2000 We study the problem of existence of positive, spherically symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its
Darko Žubrinić
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Dirichlet problems for singular elliptic equations [PDF]
Proceedings of the American Mathematical Society, 1973 Boundary value problems are formulated for the equation \[ ( ∗
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, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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Geometric Approach to Nonvariational Singular Elliptic Equations [PDF]
Archive for Rational Mechanics and Analysis, 2013 Paper from D. Araujo's Ph.D. thesis, distinguished at the 2013 Carlos Gutierrez prize for best thesis, Archive for Rational Mechanics and Analysis ...
Araújo, Damião, Teixeira, Eduardo
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Isolated boundary singularities of semilinear elliptic equations [PDF]
Calculus of Variations and Partial Differential Equations, 2010 Given a smooth domain $Ω\subset\RR^N$ such that $0 \in \partialΩ$ and given a nonnegative smooth function $ζ$ on $\partialΩ$, we study the behavior near 0 of positive solutions of $-Δu=u^q$ in $Ω$ such that $u = ζ$ on $\partialΩ\setminus\{0\}$. We prove that if $\frac{N+1}{N-1} < q < \frac{N+2}{N-2}$, then $u(x)\leq C \abs{x}^{-\frac{2}{q-1 ...
Ponce, Augusto +2 more
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On the removability of isolated singular points for elliptic equations involving variable exponent
Advances in Nonlinear Analysis, 2016 In this paper, we study the problem of removable isolated singularities for elliptic equations with variable exponents. We give a sufficient condition for removability of the isolated singular point for the equations in W1,p(x)(Ω)${W^{1,p(x)}(\Omega )}$.
Fu Yongqiang, Shan Yingying
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On Singular Semilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sign-Changing Solutions for a Fourth-Order Elliptic Equation with Hardy Singular Terms
Journal of Applied Mathematics, 2013 The existence and multiplicity of sign-changing solutions for a class of fourth elliptic equations with Hardy singular terms are established by using the minimax methods.
Ruichang Pei, Jihui Zhang
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