1,721,023 research outputs found
Positive solutions of an indefinite prescribed mean curvature problem on a general domain
No full textThe existence of positive solutions is proved for theprescribed mean curvature problem\displaystyle- \,{\rm div} \left( {\nabla u}/{\sqrt{1+\|\nabla u\|^2}}\right) =\lambda f(x,u) +g(x,u) \mbox{ in }\, \Omega,\hfill\quadu(x) = 0 \mbox{ on }\, \partial \Omega,where is a bounded smoothdomain, not necessarily radially symmetric.We assume that is locallysubquadratic at, is superquadratic at and is sufficiently small. A multiplicity result is alsoobtained, when has an oscillatory behaviour near . We allow and to change sign in any neighbourhoodof
Multiple positive solutions of a one-dimensional prescribed mean curvature problem
No full textWe discuss existence, non-existence and multiplicity of positive solutions of the Dirichlet problem for the one-dimensional prescribed curvature equation
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in connection with the changes of concavity of the function f. The proofs are based on an upper and lower solution method, we specifically develop for this problem, combined with a careful analysis of the time-map associated with some related autonomous equations
Nonresonance conditions on the potential with respect to the Fucik spectrum for the periodic boundary value problem
No full textPositive solutions for superlinear boundary value problems with singular indefinite weight
No full textMultiplicity Results for Boundary Value Problemswith Potentials Oscillating around Resonance
No full textClassical and non-classical positive solutions of a prescribed curvature equation with singularities
Full text linkinfo:eu-repo/semantics/publishe
Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach
Full text linksummary:This paper studies the existence of solutions to the singular boundary value problem where and are continuous. So our nonlinearity may be singular at and and, moreover, may change sign. The approach is based on an approximation method together with the theory of upper and lower solutions
Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order
No full textTOPOL. METHODS NONLINEAR ANAL
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