Positive solutions for sublinear elliptic equations

Bogdan Przeradzki; Robert Stańczy

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Displaying similar documents to “Positive solutions for sublinear elliptic equations”

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Giovanni Anello (2005)

Annales Polonici Mathematici

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We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.

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B. Szafirski (1967)

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The Behaviour of Weak Solutions of Boundary Value Problems for Linear Elliptic Second Order Equations in Unbounded Cone-Like Domains

Damian Wiśniewski (2016)

Annales Mathematicae Silesianae

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We investigate the behaviour of weak solutions of boundary value problems (Dirichlet, Neumann, Robin and mixed) for linear elliptic divergence second order equations in domains extending to infinity along a cone. We find an exponent of the solution decreasing rate: we derive the estimate of the weak solution modulus for our problems near the infinity under assumption that leading coefficients of the equations do not satisfy the Dini-continuity condition.

On a linear second order degenerate elliptic equation.

Devdariani, G. (2000)

Bulletin of TICMI

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The degenerate Venttsel' problem for elliptic equations.

Nazarov, A.I. (2004)

Journal of Mathematical Sciences (New York)

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The Robbins problem for elliptic equations in space

K. I. Iordanidis (1971)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

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On existence of a unique generalized solution to systems of elliptic PDEs at resonance

Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)

Annales Polonici Mathematici

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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.

Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point

Mikhail Borsuk, Krzysztof Żyjewski (2011)

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We investigate the behavior of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighborhood of a boundary corner point. We find an exponent of the solution's decreasing rate under minimal assumptions on the problem coefficients.

On positive Liouville theorems and asymptotic behavior of solutions of fuchsian type elliptic operators

Yehuda Pinchover (1994)

Annales de l'I.H.P. Analyse non linéaire

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On fully nonlinear elliptic equations of second order

L. Nirenberg (1988-1989)

Séminaire Équations aux dérivées partielles (Polytechnique)

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