Results 71 to 80 of about 371 (139)
A Liouville theorem for a class of superlinear elliptic equations on cones
, 2002 We give sufficient conditions for non-existence of positive solutions of the equation Δu + a(x)u + b(x)up = 0 on a cone of Rn We further analyze the existence of positive solutions in the radial, subcritical case, and show that under suitable conditions ...
Marco Rigoli +3 more
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Advances in Nonlinear Analysis, 2018 In this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.
Bui The Anh
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Advances in Nonlinear Analysis, 2020 We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
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Advances in Nonlinear Analysis, 2019 In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El +3 more
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HARDY-SOBOLEV INEQUALITIES AND HYPERBOLIC SYMMETRY
, 2008 . — We discuss uniqueness and nondegeneracy of extremals for some weighted Sobolev inequalities and give some applications to Grushin and scalar curvature type equations. The main theme is hyperbolic symmetry.
SANDEEP KUNNATH +3 more
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Existence results for nonlinear anisotropic elliptic partial differential equations with variable exponents [PDF]
The focus of this paper will be on studying the existence of solutions in the sense of distribution, for a class of nonlinear partial differential equations defined by a variable exponent anisotropic elliptic operator with a growth condition given by
NACERI, Mokhtar
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© Hindawi Publishing Corp. UNIQUENESS AND RADIAL SYMMETRY FOR AN INVERSE ELLIPTIC EQUATION
, 2002 We consider an inverse rearrangement semilinear partial differential equation in a 2-dimensional ball and show that it has a unique maximizing energy solution. The solution represents a confined steady flow containing a vortex and passing over a seamount.
M. H. Mehrabi, B. Emamizadeh
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Some numerical results of a boundary value problem with nonlinear terms
, 2020 In this work we consider numerical positive solutions of the equation −Δu = λf (u) with Dirichlet boundary condition in a bounded domain Ω, where λ > 0 and f (u) is a superlinear function of u.
G A Afrouzi, S Khademloo
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Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation
Advances in Nonlinear AnalysisThis article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
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Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Entropy (Basel), 2022 Li Y, Ma W.
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