Non-variational elliptic systems in dimension two: a priori bounds and existence of positive solutions
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Publication:1001340
DOI10.1007/s11784-008-0069-2zbMath1155.35345OpenAlexW1982190135WikidataQ59310988 ScholiaQ59310988MaRDI QIDQ1001340
Bernhard Ruf, João Marcos Bezerra do Ó, Djairo Guedes de Figueiredo
Publication date: 17 February 2009
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2434/51960
Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Boundary value problems for second-order elliptic systems (35J57)
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A priori bounds and existence of positive solutions of an elliptic system of Kirchhoff type in three or four space dimensions ⋮ Positive solutions for nonvariational systems with asymptotically homogeneous operators ⋮ Global bifurcation of positive solutions for a class of superlinear elliptic systems ⋮ Nontrivial solutions for a class of gradient-type quasilinear elliptic systems ⋮ Existence of solution for a nonvariational elliptic system with exponential growth in dimension two ⋮ A non-variational approach to the existence of nonzero positive solutions for elliptic systems ⋮ A system of superlinear elliptic equations in a cylinder ⋮ Uniform bounds for higher-order semilinear problems in conformal dimension ⋮ A priori bounds and existence of positive solutions for semilinear elliptic systems ⋮ Elliptic systems with some superlinear assumption only around the origin
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