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Some solutions are obtained for a class of singular semilinear elliptic equations with critical weighted Hardy-Sobolev exponents by variational methods and some analysis techniques.

Solutions of the constraint equations in general relativity satisfying "hyperboloidal boundary conditions" [Book]

Andersson Lars, Chruściel Piotr T. (1996)

Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation

Hongfen Yuan, Valery V. Karachik (2022)

Czechoslovak Mathematical Journal

Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.

Solutions of type $r^{m}$ for a class of singular equations.

Altin, Abdullah (1982)

International Journal of Mathematics and Mathematical Sciences

Solutions positives de l’équation $- Δ u = u^{p} + μ u^{q}$ dans un domaine à trou

Rejeb Hadiji (1990)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Solutions positives d'équations elliptiques non linéaires avec exposant de Sobolev critique et conjecture de Rellich pour les surfaces à courbure moyenne prescrite

H. Brezis (1982/1983)

Séminaire Équations aux dérivées partielles (Polytechnique)

Solutions to a class of singular quasilinear elliptic equations

Lin Wei, Zuodong Yang (2010)

Annales Polonici Mathematici

We study the existence of positive solutions to ⎧ ${d i v (| \nabla u |}^{p - 2} \nabla u) + q (x) u^{- γ} = 0$ on Ω, ⎨ ⎩ u = 0 on ∂Ω, where Ω is $ℝ^{N}$ or an unbounded domain, q(x) is locally Hölder continuous on Ω and p > 1, γ > -(p-1).

Solutions to a nonlinear drift-diffusion model for semiconductors.

Fang, Weifu, Ito, Kazufumi (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solutions to a perturbed critical semilinear equation concerning the $N$ -Laplacian in $ℝ^{N}$

Elliot Tonkes (1999)

Commentationes Mathematicae Universitatis Carolinae

The aim of this paper is to study the existence of variational solutions to a nonhomogeneous elliptic equation involving the $N$ -Laplacian $- Δ_{N} u \equiv - {div (| \nabla u |}^{N - 2} \nabla u) = e (x, u) + h (x) in Ω$ where $u \in W_{0}^{1, N} (ℝ^{N})$ , $Ω$ is a bounded smooth domain in $ℝ^{N}$ , $N \geq 2$ , $e (x, u)$ is a critical nonlinearity in the sense of the Trudinger-Moser inequality and $h (x) \in {(W_{0}^{1, N})}^{*}$ is a small perturbation.

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Displaying 181 – 200 of 551

Solutions for Toda systems on Riemann surfaces

Solutions fortes pour des problèmes aux limites du second ordre dégénérés

Solutions numériques de problèmes de bifurcation

Solutions of boundary-value problems in discretized volumes.

Solutions of elliptic equations involving critical Sobolev exponents with Neumann boundary conditions.

Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking

Solutions of singular semilinear elliptic equations with critical weighted Hardy-Sobolev exponents

Solutions of the constraint equations in general relativity satisfying "hyperboloidal boundary conditions" [Book]

Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation

Solutions of type $r^{m}$ for a class of singular equations.

Solutions positives de l’équation $- Δ u = u^{p} + μ u^{q}$ dans un domaine à trou

Solutions positives d'équations elliptiques non linéaires avec exposant de Sobolev critique et conjecture de Rellich pour les surfaces à courbure moyenne prescrite

Solutions to a class of singular quasilinear elliptic equations

Solutions to a nonlinear drift-diffusion model for semiconductors.

Solutions to a perturbed critical semilinear equation concerning the $N$ -Laplacian in $ℝ^{N}$

Solutions to elliptic systems of Hamiltonian type in $ℝ^{N}$ .

Solutions to $H$ -systems by topological and iterative methods.

Solutions to nonlinear elliptic equations with a nonlocal boundary condition.

Solutions to perturbed eigenvalue problems of the $p$ -Laplacian in $ℝ^{N}$ .

Solutions to stationary phase-field equations.

Currently displaying 181 – 200 of 551