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ON SUPERQUADRATIC ELLIPTIC-SYSTEMS
(Amer Mathematical SocProvidence, 1994)
Discontinuous sweeping process with prox regular sets
(EDP Sciences, 2017)
In this paper, we study the well-posedness (in the sense of existence and uniqueness of a solution) of a discontinuous sweeping process involving prox-regular sets in Hilbert spaces. The variation of the moving set is ...
Multiplicity results for a family of semilinear elliptic problems under local superlinearity and sublinearity
(European Mathematical SocZurichSuíça, 2006)
Positive solutions of the p-Laplacian involving a superlinear nonlinearity with zeros
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
Using a combination of several methods, such as variational methods. the sub and supersolutions method, comparison principles and a priori estimates. we study existence, multiplicity, and the behavior with respect to lambda ...
On Approximate KKT Condition and its Extension to Continuous Variational Inequalities
(SPRINGER/PLENUM PUBLISHERS, 2011)
In this work, we introduce a necessary sequential Approximate-Karush-Kuhn-Tucker (AKKT) condition for a point to be a solution of a continuous variational inequality, and we prove its relation with the Approximate Gradient ...
Prox-regularity approach to generalized equations and image projection
(EDP Sciences, 2018-04)
In this paper, we first investigate the prox-regularity behaviour of solution mappings to generalized equations. This study is realized through a nonconvex uniform Robinson Ursescu type theorem. Then, we derive new significant ...
Existence and Profile of Ground-State Solutions to a 1-Laplacian Problem in RN
(2020-09-01)
In this work we prove the existence of ground state solutions for the following class of problems {-Δ1u+(1+λV(x))u|u|=f(u),x∈RN,u∈BV(RN),where λ> 0 , Δ 1 denotes the 1-Laplacian operator which is formally defined by ...
Multiple solutions for a second order equation with radiation boundary conditions
(Univ Szeged, 2017-04)
A second order ordinary differential equation with a superlinear term is studied under radiation boundary conditions. Employing the variational method and an accurate shooting-type argument, we prove the existence of at ...
Remarks on lipschitz solutions to measurable differential inclusions and an existence result for some nonconvex variational problems
(HELDERMANN VERLAG, 2008)
In this paper we examine the problem of finding a Lipschitz function on an open domain with prescribed boundary values and whose gradient is required to satisfy some nonhomogeneous pointwise constraints a.e. in the domain. ...
Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains
(TAYLOR & FRANCIS INC, 2010)
We consider the problem [image omitted] in epsilon, u=0 on epsilon, where epsilon: =\{B(a, epsilon) B(b, epsilon)}, with a bounded smooth domain in N, N epsilon 3, ab two points in , and epsilon is a positive small parameter. ...