On quasilinear elliptic equations in .
Alves, C.O., Concalves, J.V., Maia, L.A. (1996)
Abstract and Applied Analysis
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Displaying similar documents to “On some nonlinear elliptic systems with coercive perturbation in RN.”
On quasilinear elliptic equations in .
Eigenvalue problems of quasilinear elliptic systems on R.
Gong Bao Li (1987)
Revista Matemática Iberoamericana
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In this paper we get the existence results of the nontrivial weak solution (λ,u) of the following eigenvalue problem of quasilinear elliptic systems -Dα (aαβ(x,u) Dβui) + 1/2 Dui aαβ(x,u)Dαuj Dβuj + h(x) ui = ...
Genericity of the existence of infinitely many solutions for a class of semilinear elliptic equations in
Francesca Alessio, Paolo Caldiroli, Piero Montecchiari (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A Dirichlet problem with asymptotically linear and changing sign nonlinearity.
Marcello Lucia, Paola Magrone, Huan-Song Zhou (2003)
Revista Matemática Complutense
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This paper deals with the problem of finding positive solutions to the equation -∆[u] = g(x,u) on a bounded domain 'Omega' with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
An existence and approximation theorem for solutions of degenerate quasilinear elliptic equations
Albo Carlos Cavalheiro (2018)
Commentationes Mathematicae Universitatis Carolinae
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The main result establishes that a weak solution of degenerate quasilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate quasilinear elliptic equations.
Nontrivial solutions for a class of superquadratic elliptic equations
Chun Li, Zeng-Qi Ou, Chun-Lei Tang (2013)
Studia Mathematica
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Using a version of the Local Linking Theorem and the Fountain Theorem, we obtain some existence and multiplicity results for a class of superquadratic elliptic equations.
Existence and nonexistence results for a class of quasilinear elliptic systems.
El Manouni, Said, Perera, Kanishka (2007)
Boundary Value Problems [electronic only]
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Solvability of quasilinear elliptic equations with strong dependence on the gradient.
Žubrinić, Darko (2000)
Abstract and Applied Analysis
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An elliptic semilinear equation with source term involving boundary measures: the subcritical case.
Marie Françoise Bidaut-Véron, Laurent Vivier (2000)
Revista Matemática Iberoamericana
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We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2), ⎧ Δu + uq = 0, in Ω ⎨ ⎩ u = μ, on ∂Ω where 1 < q < (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted...
An approximation theorem for solutions of degenerate semilinear elliptic equations
Albo Carlos Cavalheiro (2017)
Communications in Mathematics
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The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
On elliptic systems pertaining to the Schrödinger equation
J. Chabrowski, E. Tonkes (2003)
Annales Polonici Mathematici
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We discuss the existence of solutions for a system of elliptic equations involving a coupling nonlinearity containing a critical and subcritical Sobolev exponent. We establish the existence of ground state solutions. The concentration of solutions is also established as a parameter λ becomes large.
Positive solutions of critical quasilinear elliptic problems in general domains.
Gazzola, Filippo (1998)
Abstract and Applied Analysis
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