existence of infinitely many solutions to a class of kirchhoff schrodinger poisson system in this paper we consider the existence of infinitely many solutions to following nonlinear kirchhoff schrodinger poisson system a b r 3 u 2 v x u 2 u v x u l x u f x u x r 3 l x u 2 x r 3 where constants a 0 b 0 and 0 when f has sublinear growth in u we obtain infinitely many solutions under certain assumption that v do not have a positive lower bound the technique we use in this paper is the symmetric mountain pass theorem established by kajikiya 2005

completing biprefix codes a subset x of the free monoid a is called a biprefix code if it is both a prefix code and a suffix code we prove in this note that any finite biprefix code is contained in a miximal biprefix code which is recognizable by a finite automation

existence of a positive solution to kirchhoff type problems without compactness conditions abstract the existence of a positive solution to a kirchhoff type problem on r n is proved by using variational methods and the new result does not require usual compactness conditions a cut off functional is utilized to obtain the bounded palais smale sequences

existence of solution for a class of nonvariational kirchhoff type problem via dynamical methods abstract in this paper we use dynamical methods to establish the existence of nontrivial solution for the following class of kirchhoff type problem p 1 b u 2 d x u f u h u u x u 0 x where r n n 2 3 is a smooth bounded domain b 0 f r r and h r r n 0 are c 1 functions that satisfy some technical conditions

on the maximality of languages with combined types of code properties we consider the decision problem of whether or not a given regular language is maximal with respect to certain combined types of code properties in the recent past there have been a few formal methods for defining code properties such as the trajectory based type of codes and the transducer based type of codes that allow one to decide the maximality problem including the case where maximality is tested with respect to combined properties within these formal methods the property of deciphering delay 1 also known as decoding delay 1 is not known to be definable with these methods but it is known that the maximality of this property alone is decidable for regular languages here we consider the problem of deciding maximality of a regular language with respect to deciphering delay 1 and a transducer based property such as suffix code overlap free language and error detection properties

existence and multiplicity of positive solutions for a class of kirchhoff laplacian type problems this paper deals with the existence and multiplicity of positive solutions for a class of kirchhoff laplacian type problems in whole r3 the multiplicity of solutions is established by variational methods and ljusternik schnirelmann theory

infinitely many solutions for a fractional kirchhoff type problem via fountain theorem abstract in this paper we use the fountain theorem and the dual fountain theorem to study the existence of infinitely many solutions for kirchhoff type equations involving nonlocal integro differential operators with homogeneous dirichlet boundary conditions a model for these operators is given by the fractional laplacian of kirchhoff type m r 2 n u x u y 2 x y n 2 s d x d y s u x u f x u in u 0 in r n where is a smooth bounded domain of r n s is the fractional laplacian operator with 0 s 1 and 2 s n is a real parameter m is a continuous and positive function and f is a caratheodory function satisfying the ambrosetti rabinowitz type condition

positive solutions for a quasilinear elliptic equation of kirchhoff type this paper is concerned with the existence of positive solutions to the class of nonlocal boundary value problems of the type m w u 2dx du f x u email protected u 0 email protected email protected where w is a smooth bounded domain of n m is a positive function and f has subcritical growth

existence of weak solutions for a class of nonuniformly nonlinear elliptic equations in unbounded domains abstract the goal of this paper is to study the existence of non trivial weak solutions for the nonuniformly nonlinear elliptic equation div h x u q x u f x u in an unbounded domain r n n 3 where h x l loc 1 the solutions will be obtained in a subspace of the sobolev space h 0 1 and the proofs rely essentially on a variation of the mountain pass theorem in d m duc nonlinear singular elliptic equations j london math soc 40 2 1989 420 440

multiple solutions for p kirchhoff equations in rn abstract in this paper we prove the existence of multiple ground state solutions for the nonhomogeneous p kirchhoff elliptic equation 0 1 m r n u p v x u p d x p u v x u p 2 u f x u g x in r n where v x c r n and v x as x the nonlinear function f x u is continuous and satisfies some conditions the solutions will be obtained by the mountain pass theorem ekeland s variational principle and krasnoselskii s genus theory in struwe 2000 1

a polynomial time algorithm to find the shortest cycle basis of a graph define the length of a basis of the cycle space of a graph to be the sum of the lengths of all cycles in the basis an algorithm is given that finds a cycle basis with the shortest possible length in o m 3 n operations where m is the number of edges and n is the number of vertices this is the first known polynomial time algorithm for this problem edges may be weighted or unweighted also the shortest cycle basis is shown to have at most 3 n 1 n 2 2 edges for the unweighted case o mn 2 algorithm to obtain a suboptimal cycle basis of length o n 2 for unweighted graphs is also given

study of a nonlinear kirchhoff equation with non homogeneous material abstract in this paper we study a non homogeneous elliptic kirchhoff equation with nonlinear reaction term we analyze the existence and uniqueness of positive solution the main novelty is the inclusion of non homogeneous term making the problem without a variational structure we use mainly bifurcation arguments to get the results

multiple positive solutions for a class of concave convex elliptic problems in rn involving sign changing weight in this paper we study the multiplicity of positive solutions for the following concave convex elliptic equation u u f x uq 1 g x up 1in rn u 0in rn u h1 rn where 1 q 2 p 2 2 2nn 2 if n 3 2 if n 1 2 and the parameters 0 we assume that f x f x f x is sign changing and g x a x b x where the functions f a and b satisfy suitable conditions

multiple nontrivial solutions to a pp kirchhoff equation abstract in this paper morse theory is used to show the existence of nontrivial solutions to the nonlocal p kirchhoff type quasilinear elliptic equation m u p d x p 1 p u f x u in a smooth bounded domain r n with dirichlet boundary condition

the nehari manifold for a semilinear elliptic equation with a sign changing weight function abstract the nehari manifold for the equation u x a x u x b x u x 1u x for x together with dirichlet boundary conditions is investigated exploiting the relationship between the nehari manifold and fibrering maps i e maps of the form t j tu where j is the euler functional associated with the equation we discuss how the nehari manifold changes as changes and show how existence and non existence results for positive solutions of the equation are linked to properties of the manifold

positive solution for a superlinear kirchhoff type problem with a parameter abstract this paper is devoted to a nonlinear kirchhoff type problem depending on a real function and a nonnegative parameter on a smooth bounded domain of r n n 2 we show that if the nonlinearity is subcritical and superlinear at zero and infinity then there exists a positive value such that the kirchhoff type problem has at least one positive solution for any value of the parameter less than the positive value the main tools are variational methods critical point theory and iterative techniques

completion of recognizable bifix codes in 1982 perrin obtained a method to embed a finite bifix code into a recognizable complete bifix code it is unknown whether any recognizable bifix code is contained in a recognizable complete bifix code this open problem is positively solved in this paper we show that any recognizable bifix code is contained in a recognizable complete bifix code and an embedding method is obtained

multiplicity of solutions for p x polyharmonic elliptic kirchhoff equations abstract in this paper we establish the existence of an unbounded sequence of solutions for a class of quasilinear elliptic p x polyharmonic kirchhoff equations including the new delicate degenerate case not yet covered in the literature the main tool is the symmetric mountain pass theorem of ambrosetti and rabinowitz

multiple solutions for n kirchhoff type problems with critical exponential growth in rn abstract in this paper we consider a class of nonlocal n kirchhoff type problems involving a nonlinearity term having critical exponential growth by applying variational methods together with trudinger moser inequality in whole r n we obtain the existence of at least two positive solutions

nonlinear perturbations of a periodic kirchhoff equation in rn abstract this paper is concerned with the existence of positive solutions for the following class of nonlocal problem m r n u 2 d x r n v x u 2 d x u v x u f u u in r n where 5 for n 3 and 1 for n 1 2 is a positive parameter and 0 1 moreover m v and f are continuous functions satisfying some conditions

completing comma free codes we prove that for every regular comma free code there exists a maximal comma free code containing it which is still regular and moreover we can effectively locate such a completion in particular we can decide whether a given regular comma free code is maximal

on positive solutions of nonlocal and nonvariational elliptic problems abstract we will study the nonlocal and nonvariational elliptic problem a u q u h x f u in u 0 on by considering in two different results the cases n 1 and n 2 in both cases we will use fixed point theorems