О решениях эллиптических уравнений с нестепенными нелинейностями в неограниченных областях

DOI10.14498/vsgtu1386zbMath1413.35213OpenAlexW2272827881MaRDI QIDQ4553522

L. M. Kozhevnikova, A. A. Khadzhi

Publication date: 30 October 2018

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1386

zbMATH Keywords

unbounded domainsanisotropic elliptic equationsboundedness of solutionsdecay of solutionSobolev-Orlicz spacenonpower nonlinearitythe existence of solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Quasilinear elliptic equations (35J62)

Related Items (2)

Behavior of solutions to elliptic equations with non-power nonlinearities in unbounded domains ⋮ Existence of entropic solutions of an elliptic problem in anisotropic Sobolev-Orlicz spaces

Cites Work

• Embedding theorems for anisotropic Sobolev-Orlicz spaces
• Sharp estimates in Hölder spaces and precise Saint-Venant principle for solutions of the biharmonic equation
• Boundedness of the generalized solutions of elliptic equations with nonpower nonlinearities
• Local behavior of solutions of quasi-linear equations
• Linear and quasilinear elliptic equations
• Nonlinear elliptic boundary-value problems in Orlicz-Sobolev spaces
• The boundedness of generalized solutions of elliptic differential equations
• Imbedding theorems for Orlicz spaces and their applications to boundary value problems
• Estimates of decay rate for solution to parabolic equation with non-power nonlinearities
• Boundedness of solutions to anisotropic second order elliptic equations in unbounded domains
• ON BOUNDEDNESS OF GENERALIZED SOLUTIONS OF ELLIPTIC DIFFERENTIAL EQUATIONS WITH NONPOWER NONLINEARITIES
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• ON THE BEHAVIOR AT INFINITY OF SOLUTIONS OF SECOND ORDER ELLIPTIC EQUATIONS IN DOMAINS WITH NONCOMPACT BOUNDARY
• Behaviour at infinity of solutions of pseudodifferential elliptic equations in unbounded domains
• On the decay of solutions of non-uniformly elliptic equations
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